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Finding the Fourth Proportional to 12,207.71, 18,323.87 and 8,246.51

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Solution

The fourth proportional to 12,207.71, 18,323.87 and 8,246.51 is: 12,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.71 : 18,323.87 = 8,246.51 : x
  2. Step 2: Convert to fraction form
    12,207.71/18,323.87 = 8,246.51/x
  3. Step 3: Cross multiply
    12,207.71x = 18,323.87 × 8,246.51
  4. Step 4: Simplify right side
    12,207.71x = 151,107,959.44
  5. Step 5: Solve for x
    x = 151,107,959.44/12,207.71
  6. Step 6: Final answer
    x = 12,378.07

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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.