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Finding the Fourth Proportional to 12,340.67, 18,516.27 and 8,182.13

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Solution

The fourth proportional to 12,340.67, 18,516.27 and 8,182.13 is: 12,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.67 : 18,516.27 = 8,182.13 : x
  2. Step 2: Convert to fraction form
    12,340.67/18,516.27 = 8,182.13/x
  3. Step 3: Cross multiply
    12,340.67x = 18,516.27 × 8,182.13
  4. Step 4: Simplify right side
    12,340.67x = 151,502,528.26
  5. Step 5: Solve for x
    x = 151,502,528.26/12,340.67
  6. Step 6: Final answer
    x = 12,276.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.