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Finding the Fourth Proportional to 12,134.85, 16,751.26 and 8,158.27

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Solution

The fourth proportional to 12,134.85, 16,751.26 and 8,158.27 is: 11,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.85 : 16,751.26 = 8,158.27 : x
  2. Step 2: Convert to fraction form
    12,134.85/16,751.26 = 8,158.27/x
  3. Step 3: Cross multiply
    12,134.85x = 16,751.26 × 8,158.27
  4. Step 4: Simplify right side
    12,134.85x = 136,661,239.65
  5. Step 5: Solve for x
    x = 136,661,239.65/12,134.85
  6. Step 6: Final answer
    x = 11,261.88

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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.