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Finding the Fourth Proportional to 10,233.60, 15,350.40 and 9,229.20

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Solution

The fourth proportional to 10,233.60, 15,350.40 and 9,229.20 is: 13,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.60 : 15,350.40 = 9,229.20 : x
  2. Step 2: Convert to fraction form
    10,233.60/15,350.40 = 9,229.20/x
  3. Step 3: Cross multiply
    10,233.60x = 15,350.40 × 9,229.20
  4. Step 4: Simplify right side
    10,233.60x = 141,671,911.68
  5. Step 5: Solve for x
    x = 141,671,911.68/10,233.60
  6. Step 6: Final answer
    x = 13,843.80

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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.