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Finding the Fourth Proportional to 22,965.75, 31,692.75 and 13,029.75

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Solution

The fourth proportional to 22,965.75, 31,692.75 and 13,029.75 is: 17,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.75 : 31,692.75 = 13,029.75 : x
  2. Step 2: Convert to fraction form
    22,965.75/31,692.75 = 13,029.75/x
  3. Step 3: Cross multiply
    22,965.75x = 31,692.75 × 13,029.75
  4. Step 4: Simplify right side
    22,965.75x = 412,948,609.31
  5. Step 5: Solve for x
    x = 412,948,609.31/22,965.75
  6. Step 6: Final answer
    x = 17,981.06

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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.