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Finding the Fourth Proportional to 12,195.48, 18,291.10 and 3,428.31

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Solution

The fourth proportional to 12,195.48, 18,291.10 and 3,428.31 is: 5,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.48 : 18,291.10 = 3,428.31 : x
  2. Step 2: Convert to fraction form
    12,195.48/18,291.10 = 3,428.31/x
  3. Step 3: Cross multiply
    12,195.48x = 18,291.10 × 3,428.31
  4. Step 4: Simplify right side
    12,195.48x = 62,707,561.04
  5. Step 5: Solve for x
    x = 62,707,561.04/12,195.48
  6. Step 6: Final answer
    x = 5,141.87

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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.