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Finding the Fourth Proportional to 14,382.87, 19,838.14 and 9,600.41

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Solution

The fourth proportional to 14,382.87, 19,838.14 and 9,600.41 is: 13,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.87 : 19,838.14 = 9,600.41 : x
  2. Step 2: Convert to fraction form
    14,382.87/19,838.14 = 9,600.41/x
  3. Step 3: Cross multiply
    14,382.87x = 19,838.14 × 9,600.41
  4. Step 4: Simplify right side
    14,382.87x = 190,454,231.94
  5. Step 5: Solve for x
    x = 190,454,231.94/14,382.87
  6. Step 6: Final answer
    x = 13,241.74

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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.