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Finding the Fourth Proportional to 13,442.97, 20,164.01 and 5,122.69

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Solution

The fourth proportional to 13,442.97, 20,164.01 and 5,122.69 is: 7,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.97 : 20,164.01 = 5,122.69 : x
  2. Step 2: Convert to fraction form
    13,442.97/20,164.01 = 5,122.69/x
  3. Step 3: Cross multiply
    13,442.97x = 20,164.01 × 5,122.69
  4. Step 4: Simplify right side
    13,442.97x = 103,293,896.36
  5. Step 5: Solve for x
    x = 103,293,896.36/13,442.97
  6. Step 6: Final answer
    x = 7,683.86

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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.