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Finding the Fourth Proportional to 27,807.60, 41,727.60 and 10,279.20

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Solution

The fourth proportional to 27,807.60, 41,727.60 and 10,279.20 is: 15,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.60 : 41,727.60 = 10,279.20 : x
  2. Step 2: Convert to fraction form
    27,807.60/41,727.60 = 10,279.20/x
  3. Step 3: Cross multiply
    27,807.60x = 41,727.60 × 10,279.20
  4. Step 4: Simplify right side
    27,807.60x = 428,926,345.92
  5. Step 5: Solve for x
    x = 428,926,345.92/27,807.60
  6. Step 6: Final answer
    x = 15,424.79

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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.