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Finding the Fourth Proportional to 20,478.48, 30,691.75 and 9,221.81

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Solution

The fourth proportional to 20,478.48, 30,691.75 and 9,221.81 is: 13,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.48 : 30,691.75 = 9,221.81 : x
  2. Step 2: Convert to fraction form
    20,478.48/30,691.75 = 9,221.81/x
  3. Step 3: Cross multiply
    20,478.48x = 30,691.75 × 9,221.81
  4. Step 4: Simplify right side
    20,478.48x = 283,033,575.32
  5. Step 5: Solve for x
    x = 283,033,575.32/20,478.48
  6. Step 6: Final answer
    x = 13,821.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.