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Finding the Fourth Proportional to 16,418, 22,656.84 and 8,966

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Solution

The fourth proportional to 16,418, 22,656.84 and 8,966 is: 12,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418 : 22,656.84 = 8,966 : x
  2. Step 2: Convert to fraction form
    16,418/22,656.84 = 8,966/x
  3. Step 3: Cross multiply
    16,418x = 22,656.84 × 8,966
  4. Step 4: Simplify right side
    16,418x = 203,141,227.44
  5. Step 5: Solve for x
    x = 203,141,227.44/16,418
  6. Step 6: Final answer
    x = 12,373.08

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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.