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Finding the Fourth Proportional to 12,256.91, 16,909.13 and 8,169.65

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Solution

The fourth proportional to 12,256.91, 16,909.13 and 8,169.65 is: 11,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.91 : 16,909.13 = 8,169.65 : x
  2. Step 2: Convert to fraction form
    12,256.91/16,909.13 = 8,169.65/x
  3. Step 3: Cross multiply
    12,256.91x = 16,909.13 × 8,169.65
  4. Step 4: Simplify right side
    12,256.91x = 138,141,633.06
  5. Step 5: Solve for x
    x = 138,141,633.06/12,256.91
  6. Step 6: Final answer
    x = 11,270.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.