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Finding the Fourth Proportional to 12,585.38, 18,882.18 and 3,820.30

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Solution

The fourth proportional to 12,585.38, 18,882.18 and 3,820.30 is: 5,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.38 : 18,882.18 = 3,820.30 : x
  2. Step 2: Convert to fraction form
    12,585.38/18,882.18 = 3,820.30/x
  3. Step 3: Cross multiply
    12,585.38x = 18,882.18 × 3,820.30
  4. Step 4: Simplify right side
    12,585.38x = 72,135,545.05
  5. Step 5: Solve for x
    x = 72,135,545.05/12,585.38
  6. Step 6: Final answer
    x = 5,731.70

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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.