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Finding the Fourth Proportional to 22,857.88, 31,728.85 and 22,304.92

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Solution

The fourth proportional to 22,857.88, 31,728.85 and 22,304.92 is: 30,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.88 : 31,728.85 = 22,304.92 : x
  2. Step 2: Convert to fraction form
    22,857.88/31,728.85 = 22,304.92/x
  3. Step 3: Cross multiply
    22,857.88x = 31,728.85 × 22,304.92
  4. Step 4: Simplify right side
    22,857.88x = 707,709,460.94
  5. Step 5: Solve for x
    x = 707,709,460.94/22,857.88
  6. Step 6: Final answer
    x = 30,961.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.