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Finding the Fourth Proportional to 16,214.85, 24,324.27 and 5,542.97

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Solution

The fourth proportional to 16,214.85, 24,324.27 and 5,542.97 is: 8,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.85 : 24,324.27 = 5,542.97 : x
  2. Step 2: Convert to fraction form
    16,214.85/24,324.27 = 5,542.97/x
  3. Step 3: Cross multiply
    16,214.85x = 24,324.27 × 5,542.97
  4. Step 4: Simplify right side
    16,214.85x = 134,828,556.47
  5. Step 5: Solve for x
    x = 134,828,556.47/16,214.85
  6. Step 6: Final answer
    x = 8,315.13

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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.