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Finding the Fourth Proportional to 13,171.92, 19,760.57 and 4,406.91

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Solution

The fourth proportional to 13,171.92, 19,760.57 and 4,406.91 is: 6,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.92 : 19,760.57 = 4,406.91 : x
  2. Step 2: Convert to fraction form
    13,171.92/19,760.57 = 4,406.91/x
  3. Step 3: Cross multiply
    13,171.92x = 19,760.57 × 4,406.91
  4. Step 4: Simplify right side
    13,171.92x = 87,083,053.54
  5. Step 5: Solve for x
    x = 87,083,053.54/13,171.92
  6. Step 6: Final answer
    x = 6,611.26

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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.