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Finding the Fourth Proportional to 25,738.52, 38,608.16 and 10,156

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Solution

The fourth proportional to 25,738.52, 38,608.16 and 10,156 is: 15,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.52 : 38,608.16 = 10,156 : x
  2. Step 2: Convert to fraction form
    25,738.52/38,608.16 = 10,156/x
  3. Step 3: Cross multiply
    25,738.52x = 38,608.16 × 10,156
  4. Step 4: Simplify right side
    25,738.52x = 392,104,472.96
  5. Step 5: Solve for x
    x = 392,104,472.96/25,738.52
  6. Step 6: Final answer
    x = 15,234.15

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