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Finding the Fourth Proportional to 24,714.24, 34,105.68 and 13,536

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Solution

The fourth proportional to 24,714.24, 34,105.68 and 13,536 is: 18,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.24 : 34,105.68 = 13,536 : x
  2. Step 2: Convert to fraction form
    24,714.24/34,105.68 = 13,536/x
  3. Step 3: Cross multiply
    24,714.24x = 34,105.68 × 13,536
  4. Step 4: Simplify right side
    24,714.24x = 461,654,484.48
  5. Step 5: Solve for x
    x = 461,654,484.48/24,714.24
  6. Step 6: Final answer
    x = 18,679.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.