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Finding the Fourth Proportional to 12,228.42, 16,882.38 and 8,868

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Solution

The fourth proportional to 12,228.42, 16,882.38 and 8,868 is: 12,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.42 : 16,882.38 = 8,868 : x
  2. Step 2: Convert to fraction form
    12,228.42/16,882.38 = 8,868/x
  3. Step 3: Cross multiply
    12,228.42x = 16,882.38 × 8,868
  4. Step 4: Simplify right side
    12,228.42x = 149,712,945.84
  5. Step 5: Solve for x
    x = 149,712,945.84/12,228.42
  6. Step 6: Final answer
    x = 12,243.03

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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.