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Finding the Fourth Proportional to 27,831.43, 38,411.31 and 17,224.48

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Solution

The fourth proportional to 27,831.43, 38,411.31 and 17,224.48 is: 23,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.43 : 38,411.31 = 17,224.48 : x
  2. Step 2: Convert to fraction form
    27,831.43/38,411.31 = 17,224.48/x
  3. Step 3: Cross multiply
    27,831.43x = 38,411.31 × 17,224.48
  4. Step 4: Simplify right side
    27,831.43x = 661,614,840.87
  5. Step 5: Solve for x
    x = 661,614,840.87/27,831.43
  6. Step 6: Final answer
    x = 23,772.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.