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Finding the Fourth Proportional to 22,209.78, 30,649.43 and 12,138.23

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Solution

The fourth proportional to 22,209.78, 30,649.43 and 12,138.23 is: 16,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.78 : 30,649.43 = 12,138.23 : x
  2. Step 2: Convert to fraction form
    22,209.78/30,649.43 = 12,138.23/x
  3. Step 3: Cross multiply
    22,209.78x = 30,649.43 × 12,138.23
  4. Step 4: Simplify right side
    22,209.78x = 372,029,677.46
  5. Step 5: Solve for x
    x = 372,029,677.46/22,209.78
  6. Step 6: Final answer
    x = 16,750.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.