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Finding the Fourth Proportional to 12,374.46, 18,562.59 and 3,609.60

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Solution

The fourth proportional to 12,374.46, 18,562.59 and 3,609.60 is: 5,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.46 : 18,562.59 = 3,609.60 : x
  2. Step 2: Convert to fraction form
    12,374.46/18,562.59 = 3,609.60/x
  3. Step 3: Cross multiply
    12,374.46x = 18,562.59 × 3,609.60
  4. Step 4: Simplify right side
    12,374.46x = 67,003,524.86
  5. Step 5: Solve for x
    x = 67,003,524.86/12,374.46
  6. Step 6: Final answer
    x = 5,414.66

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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.