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Finding the Fourth Proportional to 20,519.66, 30,767.18 and 9,968.90

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Solution

The fourth proportional to 20,519.66, 30,767.18 and 9,968.90 is: 14,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.66 : 30,767.18 = 9,968.90 : x
  2. Step 2: Convert to fraction form
    20,519.66/30,767.18 = 9,968.90/x
  3. Step 3: Cross multiply
    20,519.66x = 30,767.18 × 9,968.90
  4. Step 4: Simplify right side
    20,519.66x = 306,714,737.02
  5. Step 5: Solve for x
    x = 306,714,737.02/20,519.66
  6. Step 6: Final answer
    x = 14,947.36

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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.