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Finding the Fourth Proportional to 20,687.82, 31,040.03 and 9,448.48

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Solution

The fourth proportional to 20,687.82, 31,040.03 and 9,448.48 is: 14,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.82 : 31,040.03 = 9,448.48 : x
  2. Step 2: Convert to fraction form
    20,687.82/31,040.03 = 9,448.48/x
  3. Step 3: Cross multiply
    20,687.82x = 31,040.03 × 9,448.48
  4. Step 4: Simplify right side
    20,687.82x = 293,281,102.65
  5. Step 5: Solve for x
    x = 293,281,102.65/20,687.82
  6. Step 6: Final answer
    x = 14,176.51

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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.