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Finding the Fourth Proportional to 20,234.68, 30,331.26 and 7,751.50

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Solution

The fourth proportional to 20,234.68, 30,331.26 and 7,751.50 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.68 : 30,331.26 = 7,751.50 : x
  2. Step 2: Convert to fraction form
    20,234.68/30,331.26 = 7,751.50/x
  3. Step 3: Cross multiply
    20,234.68x = 30,331.26 × 7,751.50
  4. Step 4: Simplify right side
    20,234.68x = 235,112,686.06
  5. Step 5: Solve for x
    x = 235,112,686.06/20,234.68
  6. Step 6: Final answer
    x = 11,619.29

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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.