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Finding the Fourth Proportional to 10,229.80, 15,348.30 and 5,032.20

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Solution

The fourth proportional to 10,229.80, 15,348.30 and 5,032.20 is: 7,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.80 : 15,348.30 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    10,229.80/15,348.30 = 5,032.20/x
  3. Step 3: Cross multiply
    10,229.80x = 15,348.30 × 5,032.20
  4. Step 4: Simplify right side
    10,229.80x = 77,235,715.26
  5. Step 5: Solve for x
    x = 77,235,715.26/10,229.80
  6. Step 6: Final answer
    x = 7,550.07

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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.