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Finding the Fourth Proportional to 24,472.76, 33,772.52 and 13,862.39

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Solution

The fourth proportional to 24,472.76, 33,772.52 and 13,862.39 is: 19,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.76 : 33,772.52 = 13,862.39 : x
  2. Step 2: Convert to fraction form
    24,472.76/33,772.52 = 13,862.39/x
  3. Step 3: Cross multiply
    24,472.76x = 33,772.52 × 13,862.39
  4. Step 4: Simplify right side
    24,472.76x = 468,167,860.30
  5. Step 5: Solve for x
    x = 468,167,860.30/24,472.76
  6. Step 6: Final answer
    x = 19,130.16

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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.