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Finding the Fourth Proportional to 23,110.65, 31,954.91 and 20,158.20

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Solution

The fourth proportional to 23,110.65, 31,954.91 and 20,158.20 is: 27,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.65 : 31,954.91 = 20,158.20 : x
  2. Step 2: Convert to fraction form
    23,110.65/31,954.91 = 20,158.20/x
  3. Step 3: Cross multiply
    23,110.65x = 31,954.91 × 20,158.20
  4. Step 4: Simplify right side
    23,110.65x = 644,153,365.97
  5. Step 5: Solve for x
    x = 644,153,365.97/23,110.65
  6. Step 6: Final answer
    x = 27,872.58

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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.