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Finding the Fourth Proportional to 12,171.97, 18,259.04 and 3,406.96

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Solution

The fourth proportional to 12,171.97, 18,259.04 and 3,406.96 is: 5,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.97 : 18,259.04 = 3,406.96 : x
  2. Step 2: Convert to fraction form
    12,171.97/18,259.04 = 3,406.96/x
  3. Step 3: Cross multiply
    12,171.97x = 18,259.04 × 3,406.96
  4. Step 4: Simplify right side
    12,171.97x = 62,207,818.92
  5. Step 5: Solve for x
    x = 62,207,818.92/12,171.97
  6. Step 6: Final answer
    x = 5,110.74

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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.