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Finding the Fourth Proportional to 14,882.80, 22,324.17 and 6,111.54

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Solution

The fourth proportional to 14,882.80, 22,324.17 and 6,111.54 is: 9,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.80 : 22,324.17 = 6,111.54 : x
  2. Step 2: Convert to fraction form
    14,882.80/22,324.17 = 6,111.54/x
  3. Step 3: Cross multiply
    14,882.80x = 22,324.17 × 6,111.54
  4. Step 4: Simplify right side
    14,882.80x = 136,435,057.92
  5. Step 5: Solve for x
    x = 136,435,057.92/14,882.80
  6. Step 6: Final answer
    x = 9,167.30

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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.