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Finding the Fourth Proportional to 12,377.56, 18,564.54 and 3,610.12

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Solution

The fourth proportional to 12,377.56, 18,564.54 and 3,610.12 is: 5,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.56 : 18,564.54 = 3,610.12 : x
  2. Step 2: Convert to fraction form
    12,377.56/18,564.54 = 3,610.12/x
  3. Step 3: Cross multiply
    12,377.56x = 18,564.54 × 3,610.12
  4. Step 4: Simplify right side
    12,377.56x = 67,020,217.14
  5. Step 5: Solve for x
    x = 67,020,217.14/12,377.56
  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.