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Finding the Fourth Proportional to 12,165.69, 18,241.17 and 5,919.41

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Solution

The fourth proportional to 12,165.69, 18,241.17 and 5,919.41 is: 8,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.69 : 18,241.17 = 5,919.41 : x
  2. Step 2: Convert to fraction form
    12,165.69/18,241.17 = 5,919.41/x
  3. Step 3: Cross multiply
    12,165.69x = 18,241.17 × 5,919.41
  4. Step 4: Simplify right side
    12,165.69x = 107,976,987.51
  5. Step 5: Solve for x
    x = 107,976,987.51/12,165.69
  6. Step 6: Final answer
    x = 8,875.53

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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.