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Finding the Fourth Proportional to 25,740.25, 38,609.96 and 8,209.96

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Solution

The fourth proportional to 25,740.25, 38,609.96 and 8,209.96 is: 12,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740.25 : 38,609.96 = 8,209.96 : x
  2. Step 2: Convert to fraction form
    25,740.25/38,609.96 = 8,209.96/x
  3. Step 3: Cross multiply
    25,740.25x = 38,609.96 × 8,209.96
  4. Step 4: Simplify right side
    25,740.25x = 316,986,227.20
  5. Step 5: Solve for x
    x = 316,986,227.20/25,740.25
  6. Step 6: Final answer
    x = 12,314.81

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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.