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Finding the Fourth Proportional to 12,657.38, 18,988.10 and 6,414.87

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Solution

The fourth proportional to 12,657.38, 18,988.10 and 6,414.87 is: 9,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.38 : 18,988.10 = 6,414.87 : x
  2. Step 2: Convert to fraction form
    12,657.38/18,988.10 = 6,414.87/x
  3. Step 3: Cross multiply
    12,657.38x = 18,988.10 × 6,414.87
  4. Step 4: Simplify right side
    12,657.38x = 121,806,193.05
  5. Step 5: Solve for x
    x = 121,806,193.05/12,657.38
  6. Step 6: Final answer
    x = 9,623.33

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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.