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Finding the Fourth Proportional to 16,300.92, 24,452.69 and 5,209.19

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Solution

The fourth proportional to 16,300.92, 24,452.69 and 5,209.19 is: 7,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.92 : 24,452.69 = 5,209.19 : x
  2. Step 2: Convert to fraction form
    16,300.92/24,452.69 = 5,209.19/x
  3. Step 3: Cross multiply
    16,300.92x = 24,452.69 × 5,209.19
  4. Step 4: Simplify right side
    16,300.92x = 127,378,559.91
  5. Step 5: Solve for x
    x = 127,378,559.91/16,300.92
  6. Step 6: Final answer
    x = 7,814.19

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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.