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Finding the Fourth Proportional to 22,487.28, 31,037.16 and 14,934.24

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Solution

The fourth proportional to 22,487.28, 31,037.16 and 14,934.24 is: 20,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.28 : 31,037.16 = 14,934.24 : x
  2. Step 2: Convert to fraction form
    22,487.28/31,037.16 = 14,934.24/x
  3. Step 3: Cross multiply
    22,487.28x = 31,037.16 × 14,934.24
  4. Step 4: Simplify right side
    22,487.28x = 463,516,396.36
  5. Step 5: Solve for x
    x = 463,516,396.36/22,487.28
  6. Step 6: Final answer
    x = 20,612.38

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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.