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Finding the Fourth Proportional to 22,316.80, 33,489.84 and 8,465.92

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Solution

The fourth proportional to 22,316.80, 33,489.84 and 8,465.92 is: 12,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.80 : 33,489.84 = 8,465.92 : x
  2. Step 2: Convert to fraction form
    22,316.80/33,489.84 = 8,465.92/x
  3. Step 3: Cross multiply
    22,316.80x = 33,489.84 × 8,465.92
  4. Step 4: Simplify right side
    22,316.80x = 283,522,306.25
  5. Step 5: Solve for x
    x = 283,522,306.25/22,316.80
  6. Step 6: Final answer
    x = 12,704.43

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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.