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Finding the Fourth Proportional to 16,489.48, 24,711.18 and 7,702.60

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Solution

The fourth proportional to 16,489.48, 24,711.18 and 7,702.60 is: 11,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.48 : 24,711.18 = 7,702.60 : x
  2. Step 2: Convert to fraction form
    16,489.48/24,711.18 = 7,702.60/x
  3. Step 3: Cross multiply
    16,489.48x = 24,711.18 × 7,702.60
  4. Step 4: Simplify right side
    16,489.48x = 190,340,335.07
  5. Step 5: Solve for x
    x = 190,340,335.07/16,489.48
  6. Step 6: Final answer
    x = 11,543.14

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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.