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Finding the Fourth Proportional to 22,893.29, 31,589.42 and 12,822.15

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Solution

The fourth proportional to 22,893.29, 31,589.42 and 12,822.15 is: 17,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.29 : 31,589.42 = 12,822.15 : x
  2. Step 2: Convert to fraction form
    22,893.29/31,589.42 = 12,822.15/x
  3. Step 3: Cross multiply
    22,893.29x = 31,589.42 × 12,822.15
  4. Step 4: Simplify right side
    22,893.29x = 405,044,281.65
  5. Step 5: Solve for x
    x = 405,044,281.65/22,893.29
  6. Step 6: Final answer
    x = 17,692.71

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1.5x scale

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.