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Finding the Fourth Proportional to 22,787.63, 31,441.88 and 13,221.97

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Solution

The fourth proportional to 22,787.63, 31,441.88 and 13,221.97 is: 18,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.63 : 31,441.88 = 13,221.97 : x
  2. Step 2: Convert to fraction form
    22,787.63/31,441.88 = 13,221.97/x
  3. Step 3: Cross multiply
    22,787.63x = 31,441.88 × 13,221.97
  4. Step 4: Simplify right side
    22,787.63x = 415,723,594.10
  5. Step 5: Solve for x
    x = 415,723,594.10/22,787.63
  6. Step 6: Final answer
    x = 18,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.