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Finding the Fourth Proportional to 22,046.31, 30,419.17 and 13,096.83

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Solution

The fourth proportional to 22,046.31, 30,419.17 and 13,096.83 is: 18,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.31 : 30,419.17 = 13,096.83 : x
  2. Step 2: Convert to fraction form
    22,046.31/30,419.17 = 13,096.83/x
  3. Step 3: Cross multiply
    22,046.31x = 30,419.17 × 13,096.83
  4. Step 4: Simplify right side
    22,046.31x = 398,394,698.23
  5. Step 5: Solve for x
    x = 398,394,698.23/22,046.31
  6. Step 6: Final answer
    x = 18,070.81

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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.