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Finding the Fourth Proportional to 16,321.19, 22,523.38 and 8,869.19

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Solution

The fourth proportional to 16,321.19, 22,523.38 and 8,869.19 is: 12,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.19 : 22,523.38 = 8,869.19 : x
  2. Step 2: Convert to fraction form
    16,321.19/22,523.38 = 8,869.19/x
  3. Step 3: Cross multiply
    16,321.19x = 22,523.38 × 8,869.19
  4. Step 4: Simplify right side
    16,321.19x = 199,764,102.53
  5. Step 5: Solve for x
    x = 199,764,102.53/16,321.19
  6. Step 6: Final answer
    x = 12,239.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.