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Finding the Fourth Proportional to 12,414.88, 18,589.02 and 10,446.58

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Solution

The fourth proportional to 12,414.88, 18,589.02 and 10,446.58 is: 15,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.88 : 18,589.02 = 10,446.58 : x
  2. Step 2: Convert to fraction form
    12,414.88/18,589.02 = 10,446.58/x
  3. Step 3: Cross multiply
    12,414.88x = 18,589.02 × 10,446.58
  4. Step 4: Simplify right side
    12,414.88x = 194,191,684.55
  5. Step 5: Solve for x
    x = 194,191,684.55/12,414.88
  6. Step 6: Final answer
    x = 15,641.85

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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.