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Finding the Fourth Proportional to 20,767.68, 31,164.51 and 8,285.84

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Solution

The fourth proportional to 20,767.68, 31,164.51 and 8,285.84 is: 12,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.68 : 31,164.51 = 8,285.84 : x
  2. Step 2: Convert to fraction form
    20,767.68/31,164.51 = 8,285.84/x
  3. Step 3: Cross multiply
    20,767.68x = 31,164.51 × 8,285.84
  4. Step 4: Simplify right side
    20,767.68x = 258,223,987.72
  5. Step 5: Solve for x
    x = 258,223,987.72/20,767.68
  6. Step 6: Final answer
    x = 12,433.94

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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.