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Finding the Fourth Proportional to 17,702.19, 24,429.33 and 10,149.75

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Solution

The fourth proportional to 17,702.19, 24,429.33 and 10,149.75 is: 14,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.19 : 24,429.33 = 10,149.75 : x
  2. Step 2: Convert to fraction form
    17,702.19/24,429.33 = 10,149.75/x
  3. Step 3: Cross multiply
    17,702.19x = 24,429.33 × 10,149.75
  4. Step 4: Simplify right side
    17,702.19x = 247,951,592.17
  5. Step 5: Solve for x
    x = 247,951,592.17/17,702.19
  6. Step 6: Final answer
    x = 14,006.83

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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.