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Finding the Fourth Proportional to 12,462.31, 18,693.53 and 3,697.30

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Solution

The fourth proportional to 12,462.31, 18,693.53 and 3,697.30 is: 5,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.31 : 18,693.53 = 3,697.30 : x
  2. Step 2: Convert to fraction form
    12,462.31/18,693.53 = 3,697.30/x
  3. Step 3: Cross multiply
    12,462.31x = 18,693.53 × 3,697.30
  4. Step 4: Simplify right side
    12,462.31x = 69,115,588.47
  5. Step 5: Solve for x
    x = 69,115,588.47/12,462.31
  6. Step 6: Final answer
    x = 5,545.97

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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.