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Finding the Fourth Proportional to 8,920.80, 13,352.40 and 8,229.60

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Solution

The fourth proportional to 8,920.80, 13,352.40 and 8,229.60 is: 12,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.80 : 13,352.40 = 8,229.60 : x
  2. Step 2: Convert to fraction form
    8,920.80/13,352.40 = 8,229.60/x
  3. Step 3: Cross multiply
    8,920.80x = 13,352.40 × 8,229.60
  4. Step 4: Simplify right side
    8,920.80x = 109,884,911.04
  5. Step 5: Solve for x
    x = 109,884,911.04/8,920.80
  6. Step 6: Final answer
    x = 12,317.83

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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.