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Finding the Fourth Proportional to 10,276.44, 15,324.42 and 10,182.88

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Solution

The fourth proportional to 10,276.44, 15,324.42 and 10,182.88 is: 15,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.44 : 15,324.42 = 10,182.88 : x
  2. Step 2: Convert to fraction form
    10,276.44/15,324.42 = 10,182.88/x
  3. Step 3: Cross multiply
    10,276.44x = 15,324.42 × 10,182.88
  4. Step 4: Simplify right side
    10,276.44x = 156,046,729.93
  5. Step 5: Solve for x
    x = 156,046,729.93/10,276.44
  6. Step 6: Final answer
    x = 15,184.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.