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Finding the Fourth Proportional to 24,392.76, 33,662 and 13,214.76

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Solution

The fourth proportional to 24,392.76, 33,662 and 13,214.76 is: 18,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.76 : 33,662 = 13,214.76 : x
  2. Step 2: Convert to fraction form
    24,392.76/33,662 = 13,214.76/x
  3. Step 3: Cross multiply
    24,392.76x = 33,662 × 13,214.76
  4. Step 4: Simplify right side
    24,392.76x = 444,835,251.12
  5. Step 5: Solve for x
    x = 444,835,251.12/24,392.76
  6. Step 6: Final answer
    x = 18,236.36

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Double scale
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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.