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Finding the Fourth Proportional to 25,657.20, 38,489.40 and 8,125.20

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Solution

The fourth proportional to 25,657.20, 38,489.40 and 8,125.20 is: 12,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.20 : 38,489.40 = 8,125.20 : x
  2. Step 2: Convert to fraction form
    25,657.20/38,489.40 = 8,125.20/x
  3. Step 3: Cross multiply
    25,657.20x = 38,489.40 × 8,125.20
  4. Step 4: Simplify right side
    25,657.20x = 312,734,072.88
  5. Step 5: Solve for x
    x = 312,734,072.88/25,657.20
  6. Step 6: Final answer
    x = 12,188.94

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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.