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Finding the Fourth Proportional to 24,397.46, 33,656.13 and 15,429.86

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Solution

The fourth proportional to 24,397.46, 33,656.13 and 15,429.86 is: 21,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.46 : 33,656.13 = 15,429.86 : x
  2. Step 2: Convert to fraction form
    24,397.46/33,656.13 = 15,429.86/x
  3. Step 3: Cross multiply
    24,397.46x = 33,656.13 × 15,429.86
  4. Step 4: Simplify right side
    24,397.46x = 519,309,374.04
  5. Step 5: Solve for x
    x = 519,309,374.04/24,397.46
  6. Step 6: Final answer
    x = 21,285.39

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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.