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Finding the Fourth Proportional to 25,882.60, 38,823.90 and 17,588.20

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Solution

The fourth proportional to 25,882.60, 38,823.90 and 17,588.20 is: 26,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.60 : 38,823.90 = 17,588.20 : x
  2. Step 2: Convert to fraction form
    25,882.60/38,823.90 = 17,588.20/x
  3. Step 3: Cross multiply
    25,882.60x = 38,823.90 × 17,588.20
  4. Step 4: Simplify right side
    25,882.60x = 682,842,517.98
  5. Step 5: Solve for x
    x = 682,842,517.98/25,882.60
  6. Step 6: Final answer
    x = 26,382.30

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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.