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Finding the Fourth Proportional to 29,831.97, 41,169.17 and 16,404.24

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Solution

The fourth proportional to 29,831.97, 41,169.17 and 16,404.24 is: 22,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.97 : 41,169.17 = 16,404.24 : x
  2. Step 2: Convert to fraction form
    29,831.97/41,169.17 = 16,404.24/x
  3. Step 3: Cross multiply
    29,831.97x = 41,169.17 × 16,404.24
  4. Step 4: Simplify right side
    29,831.97x = 675,348,945.28
  5. Step 5: Solve for x
    x = 675,348,945.28/29,831.97
  6. Step 6: Final answer
    x = 22,638.43

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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.