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Finding the Fourth Proportional to 24,842.68, 37,256.12 and 8,199.61

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Solution

The fourth proportional to 24,842.68, 37,256.12 and 8,199.61 is: 12,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.68 : 37,256.12 = 8,199.61 : x
  2. Step 2: Convert to fraction form
    24,842.68/37,256.12 = 8,199.61/x
  3. Step 3: Cross multiply
    24,842.68x = 37,256.12 × 8,199.61
  4. Step 4: Simplify right side
    24,842.68x = 305,485,426.83
  5. Step 5: Solve for x
    x = 305,485,426.83/24,842.68
  6. Step 6: Final answer
    x = 12,296.80

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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.