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Finding the Fourth Proportional to 22,877.98, 31,591.31 and 14,394.24

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Solution

The fourth proportional to 22,877.98, 31,591.31 and 14,394.24 is: 19,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.98 : 31,591.31 = 14,394.24 : x
  2. Step 2: Convert to fraction form
    22,877.98/31,591.31 = 14,394.24/x
  3. Step 3: Cross multiply
    22,877.98x = 31,591.31 × 14,394.24
  4. Step 4: Simplify right side
    22,877.98x = 454,732,898.05
  5. Step 5: Solve for x
    x = 454,732,898.05/22,877.98
  6. Step 6: Final answer
    x = 19,876.44

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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.