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Finding the Fourth Proportional to 22,952.97, 31,676.67 and 12,882.24

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Solution

The fourth proportional to 22,952.97, 31,676.67 and 12,882.24 is: 17,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.97 : 31,676.67 = 12,882.24 : x
  2. Step 2: Convert to fraction form
    22,952.97/31,676.67 = 12,882.24/x
  3. Step 3: Cross multiply
    22,952.97x = 31,676.67 × 12,882.24
  4. Step 4: Simplify right side
    22,952.97x = 408,066,465.34
  5. Step 5: Solve for x
    x = 408,066,465.34/22,952.97
  6. Step 6: Final answer
    x = 17,778.37

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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.