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Finding the Fourth Proportional to 20,231.88, 30,327.03 and 7,748.52

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Solution

The fourth proportional to 20,231.88, 30,327.03 and 7,748.52 is: 11,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.88 : 30,327.03 = 7,748.52 : x
  2. Step 2: Convert to fraction form
    20,231.88/30,327.03 = 7,748.52/x
  3. Step 3: Cross multiply
    20,231.88x = 30,327.03 × 7,748.52
  4. Step 4: Simplify right side
    20,231.88x = 234,989,598.50
  5. Step 5: Solve for x
    x = 234,989,598.50/20,231.88
  6. Step 6: Final answer
    x = 11,614.82

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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.