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Finding the Fourth Proportional to 22,562.10, 33,837.68 and 9,414.58

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Solution

The fourth proportional to 22,562.10, 33,837.68 and 9,414.58 is: 14,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.10 : 33,837.68 = 9,414.58 : x
  2. Step 2: Convert to fraction form
    22,562.10/33,837.68 = 9,414.58/x
  3. Step 3: Cross multiply
    22,562.10x = 33,837.68 × 9,414.58
  4. Step 4: Simplify right side
    22,562.10x = 318,567,545.37
  5. Step 5: Solve for x
    x = 318,567,545.37/22,562.10
  6. Step 6: Final answer
    x = 14,119.59

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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.