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Finding the Fourth Proportional to 12,414.46, 18,624.30 and 3,648.64

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Solution

The fourth proportional to 12,414.46, 18,624.30 and 3,648.64 is: 5,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.46 : 18,624.30 = 3,648.64 : x
  2. Step 2: Convert to fraction form
    12,414.46/18,624.30 = 3,648.64/x
  3. Step 3: Cross multiply
    12,414.46x = 18,624.30 × 3,648.64
  4. Step 4: Simplify right side
    12,414.46x = 67,953,365.95
  5. Step 5: Solve for x
    x = 67,953,365.95/12,414.46
  6. Step 6: Final answer
    x = 5,473.73

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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.