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Finding the Fourth Proportional to 10,266.60, 15,371.10 and 9,229.80

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Solution

The fourth proportional to 10,266.60, 15,371.10 and 9,229.80 is: 13,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.60 : 15,371.10 = 9,229.80 : x
  2. Step 2: Convert to fraction form
    10,266.60/15,371.10 = 9,229.80/x
  3. Step 3: Cross multiply
    10,266.60x = 15,371.10 × 9,229.80
  4. Step 4: Simplify right side
    10,266.60x = 141,872,178.78
  5. Step 5: Solve for x
    x = 141,872,178.78/10,266.60
  6. Step 6: Final answer
    x = 13,818.81

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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.