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Finding the Fourth Proportional to 12,194.58, 18,291.45 and 5,170.08

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Solution

The fourth proportional to 12,194.58, 18,291.45 and 5,170.08 is: 7,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.58 : 18,291.45 = 5,170.08 : x
  2. Step 2: Convert to fraction form
    12,194.58/18,291.45 = 5,170.08/x
  3. Step 3: Cross multiply
    12,194.58x = 18,291.45 × 5,170.08
  4. Step 4: Simplify right side
    12,194.58x = 94,568,244.91
  5. Step 5: Solve for x
    x = 94,568,244.91/12,194.58
  6. Step 6: Final answer
    x = 7,754.94

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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.