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Finding the Fourth Proportional to 16,252, 22,427.84 and 8,800

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Solution

The fourth proportional to 16,252, 22,427.84 and 8,800 is: 12,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252 : 22,427.84 = 8,800 : x
  2. Step 2: Convert to fraction form
    16,252/22,427.84 = 8,800/x
  3. Step 3: Cross multiply
    16,252x = 22,427.84 × 8,800
  4. Step 4: Simplify right side
    16,252x = 197,364,992
  5. Step 5: Solve for x
    x = 197,364,992/16,252
  6. Step 6: Final answer
    x = 12,144.04

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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.