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Finding the Fourth Proportional to 22,358.80, 33,517.32 and 8,315.40

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Solution

The fourth proportional to 22,358.80, 33,517.32 and 8,315.40 is: 12,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.80 : 33,517.32 = 8,315.40 : x
  2. Step 2: Convert to fraction form
    22,358.80/33,517.32 = 8,315.40/x
  3. Step 3: Cross multiply
    22,358.80x = 33,517.32 × 8,315.40
  4. Step 4: Simplify right side
    22,358.80x = 278,709,922.73
  5. Step 5: Solve for x
    x = 278,709,922.73/22,358.80
  6. Step 6: Final answer
    x = 12,465.33

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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.