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Finding the Fourth Proportional to 27,625.60, 41,449.20 and 10,097.20

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Solution

The fourth proportional to 27,625.60, 41,449.20 and 10,097.20 is: 15,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.60 : 41,449.20 = 10,097.20 : x
  2. Step 2: Convert to fraction form
    27,625.60/41,449.20 = 10,097.20/x
  3. Step 3: Cross multiply
    27,625.60x = 41,449.20 × 10,097.20
  4. Step 4: Simplify right side
    27,625.60x = 418,520,862.24
  5. Step 5: Solve for x
    x = 418,520,862.24/27,625.60
  6. Step 6: Final answer
    x = 15,149.75

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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.