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Finding the Fourth Proportional to 22,493.90, 31,065.73 and 20,020.16

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Solution

The fourth proportional to 22,493.90, 31,065.73 and 20,020.16 is: 27,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.90 : 31,065.73 = 20,020.16 : x
  2. Step 2: Convert to fraction form
    22,493.90/31,065.73 = 20,020.16/x
  3. Step 3: Cross multiply
    22,493.90x = 31,065.73 × 20,020.16
  4. Step 4: Simplify right side
    22,493.90x = 621,940,912.73
  5. Step 5: Solve for x
    x = 621,940,912.73/22,493.90
  6. Step 6: Final answer
    x = 27,649.31

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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.