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Finding the Fourth Proportional to 20,767.65, 31,132.94 and 7,616.96

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Solution

The fourth proportional to 20,767.65, 31,132.94 and 7,616.96 is: 11,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.65 : 31,132.94 = 7,616.96 : x
  2. Step 2: Convert to fraction form
    20,767.65/31,132.94 = 7,616.96/x
  3. Step 3: Cross multiply
    20,767.65x = 31,132.94 × 7,616.96
  4. Step 4: Simplify right side
    20,767.65x = 237,138,358.66
  5. Step 5: Solve for x
    x = 237,138,358.66/20,767.65
  6. Step 6: Final answer
    x = 11,418.64

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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.