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Finding the Fourth Proportional to 12,494.33, 18,717.82 and 6,342.65

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Solution

The fourth proportional to 12,494.33, 18,717.82 and 6,342.65 is: 9,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.33 : 18,717.82 = 6,342.65 : x
  2. Step 2: Convert to fraction form
    12,494.33/18,717.82 = 6,342.65/x
  3. Step 3: Cross multiply
    12,494.33x = 18,717.82 × 6,342.65
  4. Step 4: Simplify right side
    12,494.33x = 118,720,549.31
  5. Step 5: Solve for x
    x = 118,720,549.31/12,494.33
  6. Step 6: Final answer
    x = 9,501.95

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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.