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Finding the Fourth Proportional to 17,702.11, 24,428.71 and 9,744.15

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Solution

The fourth proportional to 17,702.11, 24,428.71 and 9,744.15 is: 13,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.11 : 24,428.71 = 9,744.15 : x
  2. Step 2: Convert to fraction form
    17,702.11/24,428.71 = 9,744.15/x
  3. Step 3: Cross multiply
    17,702.11x = 24,428.71 × 9,744.15
  4. Step 4: Simplify right side
    17,702.11x = 238,037,014.55
  5. Step 5: Solve for x
    x = 238,037,014.55/17,702.11
  6. Step 6: Final answer
    x = 13,446.82

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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.