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Finding the Fourth Proportional to 23,144.71, 31,940.91 and 15,191.59

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Solution

The fourth proportional to 23,144.71, 31,940.91 and 15,191.59 is: 20,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.71 : 31,940.91 = 15,191.59 : x
  2. Step 2: Convert to fraction form
    23,144.71/31,940.91 = 15,191.59/x
  3. Step 3: Cross multiply
    23,144.71x = 31,940.91 × 15,191.59
  4. Step 4: Simplify right side
    23,144.71x = 485,233,208.95
  5. Step 5: Solve for x
    x = 485,233,208.95/23,144.71
  6. Step 6: Final answer
    x = 20,965.19

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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.