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Finding the Fourth Proportional to 22,524, 31,083.12 and 12,588

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Solution

The fourth proportional to 22,524, 31,083.12 and 12,588 is: 17,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524 : 31,083.12 = 12,588 : x
  2. Step 2: Convert to fraction form
    22,524/31,083.12 = 12,588/x
  3. Step 3: Cross multiply
    22,524x = 31,083.12 × 12,588
  4. Step 4: Simplify right side
    22,524x = 391,274,314.56
  5. Step 5: Solve for x
    x = 391,274,314.56/22,524
  6. Step 6: Final answer
    x = 17,371.44

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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.