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Finding the Fourth Proportional to 22,305.35, 33,462.68 and 9,158.85

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Solution

The fourth proportional to 22,305.35, 33,462.68 and 9,158.85 is: 13,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.35 : 33,462.68 = 9,158.85 : x
  2. Step 2: Convert to fraction form
    22,305.35/33,462.68 = 9,158.85/x
  3. Step 3: Cross multiply
    22,305.35x = 33,462.68 × 9,158.85
  4. Step 4: Simplify right side
    22,305.35x = 306,479,620.92
  5. Step 5: Solve for x
    x = 306,479,620.92/22,305.35
  6. Step 6: Final answer
    x = 13,740.19

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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.