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Finding the Fourth Proportional to 22,855.70, 31,542.51 and 12,787.38

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Solution

The fourth proportional to 22,855.70, 31,542.51 and 12,787.38 is: 17,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.70 : 31,542.51 = 12,787.38 : x
  2. Step 2: Convert to fraction form
    22,855.70/31,542.51 = 12,787.38/x
  3. Step 3: Cross multiply
    22,855.70x = 31,542.51 × 12,787.38
  4. Step 4: Simplify right side
    22,855.70x = 403,346,061.52
  5. Step 5: Solve for x
    x = 403,346,061.52/22,855.70
  6. Step 6: Final answer
    x = 17,647.51

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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.