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Finding the Fourth Proportional to 20,649.12, 30,948.30 and 9,540.78

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Solution

The fourth proportional to 20,649.12, 30,948.30 and 9,540.78 is: 14,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.12 : 30,948.30 = 9,540.78 : x
  2. Step 2: Convert to fraction form
    20,649.12/30,948.30 = 9,540.78/x
  3. Step 3: Cross multiply
    20,649.12x = 30,948.30 × 9,540.78
  4. Step 4: Simplify right side
    20,649.12x = 295,270,921.67
  5. Step 5: Solve for x
    x = 295,270,921.67/20,649.12
  6. Step 6: Final answer
    x = 14,299.44

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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.