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Finding the Fourth Proportional to 24,739.62, 37,109.57 and 8,099.52

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Solution

The fourth proportional to 24,739.62, 37,109.57 and 8,099.52 is: 12,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.62 : 37,109.57 = 8,099.52 : x
  2. Step 2: Convert to fraction form
    24,739.62/37,109.57 = 8,099.52/x
  3. Step 3: Cross multiply
    24,739.62x = 37,109.57 × 8,099.52
  4. Step 4: Simplify right side
    24,739.62x = 300,569,663.91
  5. Step 5: Solve for x
    x = 300,569,663.91/24,739.62
  6. Step 6: Final answer
    x = 12,149.32

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1.5x scale

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.