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Finding the Fourth Proportional to 25,615.68, 38,423.70 and 8,086.92

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Solution

The fourth proportional to 25,615.68, 38,423.70 and 8,086.92 is: 12,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.68 : 38,423.70 = 8,086.92 : x
  2. Step 2: Convert to fraction form
    25,615.68/38,423.70 = 8,086.92/x
  3. Step 3: Cross multiply
    25,615.68x = 38,423.70 × 8,086.92
  4. Step 4: Simplify right side
    25,615.68x = 310,729,388.00
  5. Step 5: Solve for x
    x = 310,729,388.00/25,615.68
  6. Step 6: Final answer
    x = 12,130.44

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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.