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Finding the Fourth Proportional to 25,520.41, 38,282.84 and 7,989.78

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Solution

The fourth proportional to 25,520.41, 38,282.84 and 7,989.78 is: 11,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520.41 : 38,282.84 = 7,989.78 : x
  2. Step 2: Convert to fraction form
    25,520.41/38,282.84 = 7,989.78/x
  3. Step 3: Cross multiply
    25,520.41x = 38,282.84 × 7,989.78
  4. Step 4: Simplify right side
    25,520.41x = 305,871,469.38
  5. Step 5: Solve for x
    x = 305,871,469.38/25,520.41
  6. Step 6: Final answer
    x = 11,985.37

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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.