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Finding the Fourth Proportional to 12,195.99, 18,287.51 and 5,616.56

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Solution

The fourth proportional to 12,195.99, 18,287.51 and 5,616.56 is: 8,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.99 : 18,287.51 = 5,616.56 : x
  2. Step 2: Convert to fraction form
    12,195.99/18,287.51 = 5,616.56/x
  3. Step 3: Cross multiply
    12,195.99x = 18,287.51 × 5,616.56
  4. Step 4: Simplify right side
    12,195.99x = 102,712,914.80
  5. Step 5: Solve for x
    x = 102,712,914.80/12,195.99
  6. Step 6: Final answer
    x = 8,421.86

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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.