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Finding the Fourth Proportional to 20,171.56, 30,236.70 and 7,013.12

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Solution

The fourth proportional to 20,171.56, 30,236.70 and 7,013.12 is: 10,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.56 : 30,236.70 = 7,013.12 : x
  2. Step 2: Convert to fraction form
    20,171.56/30,236.70 = 7,013.12/x
  3. Step 3: Cross multiply
    20,171.56x = 30,236.70 × 7,013.12
  4. Step 4: Simplify right side
    20,171.56x = 212,053,605.50
  5. Step 5: Solve for x
    x = 212,053,605.50/20,171.56
  6. Step 6: Final answer
    x = 10,512.50

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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.