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Finding the Fourth Proportional to 17,654.46, 24,364.85 and 10,099.29

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Solution

The fourth proportional to 17,654.46, 24,364.85 and 10,099.29 is: 13,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.46 : 24,364.85 = 10,099.29 : x
  2. Step 2: Convert to fraction form
    17,654.46/24,364.85 = 10,099.29/x
  3. Step 3: Cross multiply
    17,654.46x = 24,364.85 × 10,099.29
  4. Step 4: Simplify right side
    17,654.46x = 246,067,635.46
  5. Step 5: Solve for x
    x = 246,067,635.46/17,654.46
  6. Step 6: Final answer
    x = 13,937.99

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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.