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Finding the Fourth Proportional to 20,681.56, 31,019.41 and 6,642.80

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Solution

The fourth proportional to 20,681.56, 31,019.41 and 6,642.80 is: 9,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,681.56 : 31,019.41 = 6,642.80 : x
  2. Step 2: Convert to fraction form
    20,681.56/31,019.41 = 6,642.80/x
  3. Step 3: Cross multiply
    20,681.56x = 31,019.41 × 6,642.80
  4. Step 4: Simplify right side
    20,681.56x = 206,055,736.75
  5. Step 5: Solve for x
    x = 206,055,736.75/20,681.56
  6. Step 6: Final answer
    x = 9,963.26

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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.