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Finding the Fourth Proportional to 14,767.82, 22,134.72 and 5,993.12

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Solution

The fourth proportional to 14,767.82, 22,134.72 and 5,993.12 is: 8,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.82 : 22,134.72 = 5,993.12 : x
  2. Step 2: Convert to fraction form
    14,767.82/22,134.72 = 5,993.12/x
  3. Step 3: Cross multiply
    14,767.82x = 22,134.72 × 5,993.12
  4. Step 4: Simplify right side
    14,767.82x = 132,656,033.13
  5. Step 5: Solve for x
    x = 132,656,033.13/14,767.82
  6. Step 6: Final answer
    x = 8,982.78

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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.