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Finding the Fourth Proportional to 16,618, 22,932.84 and 9,166

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Solution

The fourth proportional to 16,618, 22,932.84 and 9,166 is: 12,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618 : 22,932.84 = 9,166 : x
  2. Step 2: Convert to fraction form
    16,618/22,932.84 = 9,166/x
  3. Step 3: Cross multiply
    16,618x = 22,932.84 × 9,166
  4. Step 4: Simplify right side
    16,618x = 210,202,411.44
  5. Step 5: Solve for x
    x = 210,202,411.44/16,618
  6. Step 6: Final answer
    x = 12,649.08

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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.