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Finding the Fourth Proportional to 16,134.38, 22,264.66 and 8,964.75

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Solution

The fourth proportional to 16,134.38, 22,264.66 and 8,964.75 is: 12,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.38 : 22,264.66 = 8,964.75 : x
  2. Step 2: Convert to fraction form
    16,134.38/22,264.66 = 8,964.75/x
  3. Step 3: Cross multiply
    16,134.38x = 22,264.66 × 8,964.75
  4. Step 4: Simplify right side
    16,134.38x = 199,597,110.74
  5. Step 5: Solve for x
    x = 199,597,110.74/16,134.38
  6. Step 6: Final answer
    x = 12,370.92

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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.