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Finding the Fourth Proportional to 20,757.65, 31,144.27 and 12,443.59

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Solution

The fourth proportional to 20,757.65, 31,144.27 and 12,443.59 is: 18,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.65 : 31,144.27 = 12,443.59 : x
  2. Step 2: Convert to fraction form
    20,757.65/31,144.27 = 12,443.59/x
  3. Step 3: Cross multiply
    20,757.65x = 31,144.27 × 12,443.59
  4. Step 4: Simplify right side
    20,757.65x = 387,546,464.51
  5. Step 5: Solve for x
    x = 387,546,464.51/20,757.65
  6. Step 6: Final answer
    x = 18,670.05

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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.