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Finding the Fourth Proportional to 15,702.28, 23,532.18 and 8,683.72

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Solution

The fourth proportional to 15,702.28, 23,532.18 and 8,683.72 is: 13,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.28 : 23,532.18 = 8,683.72 : x
  2. Step 2: Convert to fraction form
    15,702.28/23,532.18 = 8,683.72/x
  3. Step 3: Cross multiply
    15,702.28x = 23,532.18 × 8,683.72
  4. Step 4: Simplify right side
    15,702.28x = 204,346,862.11
  5. Step 5: Solve for x
    x = 204,346,862.11/15,702.28
  6. Step 6: Final answer
    x = 13,013.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.