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Finding the Fourth Proportional to 10,247.60, 15,371.40 and 10,182.80

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Solution

The fourth proportional to 10,247.60, 15,371.40 and 10,182.80 is: 15,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.60 : 15,371.40 = 10,182.80 : x
  2. Step 2: Convert to fraction form
    10,247.60/15,371.40 = 10,182.80/x
  3. Step 3: Cross multiply
    10,247.60x = 15,371.40 × 10,182.80
  4. Step 4: Simplify right side
    10,247.60x = 156,523,891.92
  5. Step 5: Solve for x
    x = 156,523,891.92/10,247.60
  6. Step 6: Final answer
    x = 15,274.20

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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.