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Finding the Fourth Proportional to 10,270.76, 15,331.84 and 9,025.20

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Solution

The fourth proportional to 10,270.76, 15,331.84 and 9,025.20 is: 13,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.76 : 15,331.84 = 9,025.20 : x
  2. Step 2: Convert to fraction form
    10,270.76/15,331.84 = 9,025.20/x
  3. Step 3: Cross multiply
    10,270.76x = 15,331.84 × 9,025.20
  4. Step 4: Simplify right side
    10,270.76x = 138,372,922.37
  5. Step 5: Solve for x
    x = 138,372,922.37/10,270.76
  6. Step 6: Final answer
    x = 13,472.51

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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.