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Finding the Fourth Proportional to 12,107.28, 18,136.60 and 5,524.40

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Solution

The fourth proportional to 12,107.28, 18,136.60 and 5,524.40 is: 8,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.28 : 18,136.60 = 5,524.40 : x
  2. Step 2: Convert to fraction form
    12,107.28/18,136.60 = 5,524.40/x
  3. Step 3: Cross multiply
    12,107.28x = 18,136.60 × 5,524.40
  4. Step 4: Simplify right side
    12,107.28x = 100,193,833.04
  5. Step 5: Solve for x
    x = 100,193,833.04/12,107.28
  6. Step 6: Final answer
    x = 8,275.50

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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.