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Finding the Fourth Proportional to 12,190.26, 18,272.16 and 6,347.46

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Solution

The fourth proportional to 12,190.26, 18,272.16 and 6,347.46 is: 9,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.26 : 18,272.16 = 6,347.46 : x
  2. Step 2: Convert to fraction form
    12,190.26/18,272.16 = 6,347.46/x
  3. Step 3: Cross multiply
    12,190.26x = 18,272.16 × 6,347.46
  4. Step 4: Simplify right side
    12,190.26x = 115,981,804.71
  5. Step 5: Solve for x
    x = 115,981,804.71/12,190.26
  6. Step 6: Final answer
    x = 9,514.30

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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.