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Finding the Fourth Proportional to 16,657.40, 24,983.22 and 6,269.24

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Solution

The fourth proportional to 16,657.40, 24,983.22 and 6,269.24 is: 9,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.40 : 24,983.22 = 6,269.24 : x
  2. Step 2: Convert to fraction form
    16,657.40/24,983.22 = 6,269.24/x
  3. Step 3: Cross multiply
    16,657.40x = 24,983.22 × 6,269.24
  4. Step 4: Simplify right side
    16,657.40x = 156,625,802.15
  5. Step 5: Solve for x
    x = 156,625,802.15/16,657.40
  6. Step 6: Final answer
    x = 9,402.78

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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.