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Finding the Fourth Proportional to 20,013.78, 30,039.49 and 10,160.13

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Solution

The fourth proportional to 20,013.78, 30,039.49 and 10,160.13 is: 15,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.78 : 30,039.49 = 10,160.13 : x
  2. Step 2: Convert to fraction form
    20,013.78/30,039.49 = 10,160.13/x
  3. Step 3: Cross multiply
    20,013.78x = 30,039.49 × 10,160.13
  4. Step 4: Simplify right side
    20,013.78x = 305,205,123.53
  5. Step 5: Solve for x
    x = 305,205,123.53/20,013.78
  6. Step 6: Final answer
    x = 15,249.75

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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.