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Finding the Fourth Proportional to 17,702.57, 24,428.84 and 10,143.66

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Solution

The fourth proportional to 17,702.57, 24,428.84 and 10,143.66 is: 13,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.57 : 24,428.84 = 10,143.66 : x
  2. Step 2: Convert to fraction form
    17,702.57/24,428.84 = 10,143.66/x
  3. Step 3: Cross multiply
    17,702.57x = 24,428.84 × 10,143.66
  4. Step 4: Simplify right side
    17,702.57x = 247,797,945.10
  5. Step 5: Solve for x
    x = 247,797,945.10/17,702.57
  6. Step 6: Final answer
    x = 13,997.85

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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.