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Finding the Fourth Proportional to 25,679.89, 38,524.05 and 8,153.92

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Solution

The fourth proportional to 25,679.89, 38,524.05 and 8,153.92 is: 12,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679.89 : 38,524.05 = 8,153.92 : x
  2. Step 2: Convert to fraction form
    25,679.89/38,524.05 = 8,153.92/x
  3. Step 3: Cross multiply
    25,679.89x = 38,524.05 × 8,153.92
  4. Step 4: Simplify right side
    25,679.89x = 314,122,021.78
  5. Step 5: Solve for x
    x = 314,122,021.78/25,679.89
  6. Step 6: Final answer
    x = 12,232.22

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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.