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Finding the Fourth Proportional to 25,809.20, 38,665.20 and 13,286.60

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Solution

The fourth proportional to 25,809.20, 38,665.20 and 13,286.60 is: 19,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.20 : 38,665.20 = 13,286.60 : x
  2. Step 2: Convert to fraction form
    25,809.20/38,665.20 = 13,286.60/x
  3. Step 3: Cross multiply
    25,809.20x = 38,665.20 × 13,286.60
  4. Step 4: Simplify right side
    25,809.20x = 513,729,046.32
  5. Step 5: Solve for x
    x = 513,729,046.32/25,809.20
  6. Step 6: Final answer
    x = 19,904.88

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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.