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Finding the Fourth Proportional to 16,334, 22,541.28 and 8,882

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Solution

The fourth proportional to 16,334, 22,541.28 and 8,882 is: 12,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334 : 22,541.28 = 8,882 : x
  2. Step 2: Convert to fraction form
    16,334/22,541.28 = 8,882/x
  3. Step 3: Cross multiply
    16,334x = 22,541.28 × 8,882
  4. Step 4: Simplify right side
    16,334x = 200,211,648.96
  5. Step 5: Solve for x
    x = 200,211,648.96/16,334
  6. Step 6: Final answer
    x = 12,257.36

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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.