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Finding the Fourth Proportional to 12,222.42, 16,874.10 and 8,862

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Solution

The fourth proportional to 12,222.42, 16,874.10 and 8,862 is: 12,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.42 : 16,874.10 = 8,862 : x
  2. Step 2: Convert to fraction form
    12,222.42/16,874.10 = 8,862/x
  3. Step 3: Cross multiply
    12,222.42x = 16,874.10 × 8,862
  4. Step 4: Simplify right side
    12,222.42x = 149,538,274.20
  5. Step 5: Solve for x
    x = 149,538,274.20/12,222.42
  6. Step 6: Final answer
    x = 12,234.75

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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.