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Finding the Fourth Proportional to 24,753.86, 34,159.71 and 14,142.59

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Solution

The fourth proportional to 24,753.86, 34,159.71 and 14,142.59 is: 19,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753.86 : 34,159.71 = 14,142.59 : x
  2. Step 2: Convert to fraction form
    24,753.86/34,159.71 = 14,142.59/x
  3. Step 3: Cross multiply
    24,753.86x = 34,159.71 × 14,142.59
  4. Step 4: Simplify right side
    24,753.86x = 483,106,531.54
  5. Step 5: Solve for x
    x = 483,106,531.54/24,753.86
  6. Step 6: Final answer
    x = 19,516.42

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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.