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Finding the Fourth Proportional to 22,089.92, 33,134.09 and 9,609.96

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Solution

The fourth proportional to 22,089.92, 33,134.09 and 9,609.96 is: 14,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,089.92 : 33,134.09 = 9,609.96 : x
  2. Step 2: Convert to fraction form
    22,089.92/33,134.09 = 9,609.96/x
  3. Step 3: Cross multiply
    22,089.92x = 33,134.09 × 9,609.96
  4. Step 4: Simplify right side
    22,089.92x = 318,417,065.82
  5. Step 5: Solve for x
    x = 318,417,065.82/22,089.92
  6. Step 6: Final answer
    x = 14,414.59

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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.