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Finding the Fourth Proportional to 20,833.65, 31,244.81 and 9,144.09

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Solution

The fourth proportional to 20,833.65, 31,244.81 and 9,144.09 is: 13,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.65 : 31,244.81 = 9,144.09 : x
  2. Step 2: Convert to fraction form
    20,833.65/31,244.81 = 9,144.09/x
  3. Step 3: Cross multiply
    20,833.65x = 31,244.81 × 9,144.09
  4. Step 4: Simplify right side
    20,833.65x = 285,705,308.95
  5. Step 5: Solve for x
    x = 285,705,308.95/20,833.65
  6. Step 6: Final answer
    x = 13,713.65

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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.