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Finding the Fourth Proportional to 25,647.97, 38,462.72 and 10,857.92

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Solution

The fourth proportional to 25,647.97, 38,462.72 and 10,857.92 is: 16,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.97 : 38,462.72 = 10,857.92 : x
  2. Step 2: Convert to fraction form
    25,647.97/38,462.72 = 10,857.92/x
  3. Step 3: Cross multiply
    25,647.97x = 38,462.72 × 10,857.92
  4. Step 4: Simplify right side
    25,647.97x = 417,625,306.28
  5. Step 5: Solve for x
    x = 417,625,306.28/25,647.97
  6. Step 6: Final answer
    x = 16,282.98

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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.