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Finding the Fourth Proportional to 22,026.80, 32,972.70 and 12,135.80

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Solution

The fourth proportional to 22,026.80, 32,972.70 and 12,135.80 is: 18,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.80 : 32,972.70 = 12,135.80 : x
  2. Step 2: Convert to fraction form
    22,026.80/32,972.70 = 12,135.80/x
  3. Step 3: Cross multiply
    22,026.80x = 32,972.70 × 12,135.80
  4. Step 4: Simplify right side
    22,026.80x = 400,150,092.66
  5. Step 5: Solve for x
    x = 400,150,092.66/22,026.80
  6. Step 6: Final answer
    x = 18,166.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.