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Finding the Fourth Proportional to 20,552.85, 30,772.02 and 13,139.01

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Solution

The fourth proportional to 20,552.85, 30,772.02 and 13,139.01 is: 19,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.85 : 30,772.02 = 13,139.01 : x
  2. Step 2: Convert to fraction form
    20,552.85/30,772.02 = 13,139.01/x
  3. Step 3: Cross multiply
    20,552.85x = 30,772.02 × 13,139.01
  4. Step 4: Simplify right side
    20,552.85x = 404,313,878.50
  5. Step 5: Solve for x
    x = 404,313,878.50/20,552.85
  6. Step 6: Final answer
    x = 19,671.91

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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.