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Finding the Fourth Proportional to 27,657.60, 41,502.60 and 10,129.20

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Solution

The fourth proportional to 27,657.60, 41,502.60 and 10,129.20 is: 15,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.60 : 41,502.60 = 10,129.20 : x
  2. Step 2: Convert to fraction form
    27,657.60/41,502.60 = 10,129.20/x
  3. Step 3: Cross multiply
    27,657.60x = 41,502.60 × 10,129.20
  4. Step 4: Simplify right side
    27,657.60x = 420,388,135.92
  5. Step 5: Solve for x
    x = 420,388,135.92/27,657.60
  6. Step 6: Final answer
    x = 15,199.73

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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.