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Finding the Fourth Proportional to 27,831.80, 41,752.52 and 12,249

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Solution

The fourth proportional to 27,831.80, 41,752.52 and 12,249 is: 18,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.80 : 41,752.52 = 12,249 : x
  2. Step 2: Convert to fraction form
    27,831.80/41,752.52 = 12,249/x
  3. Step 3: Cross multiply
    27,831.80x = 41,752.52 × 12,249
  4. Step 4: Simplify right side
    27,831.80x = 511,426,617.48
  5. Step 5: Solve for x
    x = 511,426,617.48/27,831.80
  6. Step 6: Final answer
    x = 18,375.62

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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.