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Finding the Fourth Proportional to 25,471.17, 38,197.76 and 10,474.02

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Solution

The fourth proportional to 25,471.17, 38,197.76 and 10,474.02 is: 15,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.17 : 38,197.76 = 10,474.02 : x
  2. Step 2: Convert to fraction form
    25,471.17/38,197.76 = 10,474.02/x
  3. Step 3: Cross multiply
    25,471.17x = 38,197.76 × 10,474.02
  4. Step 4: Simplify right side
    25,471.17x = 400,084,049.83
  5. Step 5: Solve for x
    x = 400,084,049.83/25,471.17
  6. Step 6: Final answer
    x = 15,707.33

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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.