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Finding the Fourth Proportional to 25,615.10, 38,423.85 and 8,086.30

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Solution

The fourth proportional to 25,615.10, 38,423.85 and 8,086.30 is: 12,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.10 : 38,423.85 = 8,086.30 : x
  2. Step 2: Convert to fraction form
    25,615.10/38,423.85 = 8,086.30/x
  3. Step 3: Cross multiply
    25,615.10x = 38,423.85 × 8,086.30
  4. Step 4: Simplify right side
    25,615.10x = 310,706,778.26
  5. Step 5: Solve for x
    x = 310,706,778.26/25,615.10
  6. Step 6: Final answer
    x = 12,129.83

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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.