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Finding the Fourth Proportional to 12,178.77, 18,215.38 and 7,169.21

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Solution

The fourth proportional to 12,178.77, 18,215.38 and 7,169.21 is: 10,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.77 : 18,215.38 = 7,169.21 : x
  2. Step 2: Convert to fraction form
    12,178.77/18,215.38 = 7,169.21/x
  3. Step 3: Cross multiply
    12,178.77x = 18,215.38 × 7,169.21
  4. Step 4: Simplify right side
    12,178.77x = 130,589,757.53
  5. Step 5: Solve for x
    x = 130,589,757.53/12,178.77
  6. Step 6: Final answer
    x = 10,722.74

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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.