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Finding the Fourth Proportional to 22,343.74, 30,825.78 and 12,781.69

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Solution

The fourth proportional to 22,343.74, 30,825.78 and 12,781.69 is: 17,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.74 : 30,825.78 = 12,781.69 : x
  2. Step 2: Convert to fraction form
    22,343.74/30,825.78 = 12,781.69/x
  3. Step 3: Cross multiply
    22,343.74x = 30,825.78 × 12,781.69
  4. Step 4: Simplify right side
    22,343.74x = 394,005,563.97
  5. Step 5: Solve for x
    x = 394,005,563.97/22,343.74
  6. Step 6: Final answer
    x = 17,633.82

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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.