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Finding the Fourth Proportional to 22,005.68, 30,381.38 and 16,959.78

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Solution

The fourth proportional to 22,005.68, 30,381.38 and 16,959.78 is: 23,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.68 : 30,381.38 = 16,959.78 : x
  2. Step 2: Convert to fraction form
    22,005.68/30,381.38 = 16,959.78/x
  3. Step 3: Cross multiply
    22,005.68x = 30,381.38 × 16,959.78
  4. Step 4: Simplify right side
    22,005.68x = 515,261,499.70
  5. Step 5: Solve for x
    x = 515,261,499.70/22,005.68
  6. Step 6: Final answer
    x = 23,414.94

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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.