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Finding the Fourth Proportional to 12,766.48, 19,149.24 and 3,532.24

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Solution

The fourth proportional to 12,766.48, 19,149.24 and 3,532.24 is: 5,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.48 : 19,149.24 = 3,532.24 : x
  2. Step 2: Convert to fraction form
    12,766.48/19,149.24 = 3,532.24/x
  3. Step 3: Cross multiply
    12,766.48x = 19,149.24 × 3,532.24
  4. Step 4: Simplify right side
    12,766.48x = 67,639,711.50
  5. Step 5: Solve for x
    x = 67,639,711.50/12,766.48
  6. Step 6: Final answer
    x = 5,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.