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Finding the Fourth Proportional to 17,737.94, 24,478.34 and 10,184.76

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Solution

The fourth proportional to 17,737.94, 24,478.34 and 10,184.76 is: 14,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.94 : 24,478.34 = 10,184.76 : x
  2. Step 2: Convert to fraction form
    17,737.94/24,478.34 = 10,184.76/x
  3. Step 3: Cross multiply
    17,737.94x = 24,478.34 × 10,184.76
  4. Step 4: Simplify right side
    17,737.94x = 249,305,967.17
  5. Step 5: Solve for x
    x = 249,305,967.17/17,737.94
  6. Step 6: Final answer
    x = 14,054.96

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Half scale
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Double scale
Find fourth proportional to 17,738.94, 24,479.71 and 10,185.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.