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Finding the Fourth Proportional to 16,274, 22,458.12 and 8,822

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Solution

The fourth proportional to 16,274, 22,458.12 and 8,822 is: 12,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274 : 22,458.12 = 8,822 : x
  2. Step 2: Convert to fraction form
    16,274/22,458.12 = 8,822/x
  3. Step 3: Cross multiply
    16,274x = 22,458.12 × 8,822
  4. Step 4: Simplify right side
    16,274x = 198,125,534.64
  5. Step 5: Solve for x
    x = 198,125,534.64/16,274
  6. Step 6: Final answer
    x = 12,174.36

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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.