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Finding the Fourth Proportional to 24,729.86, 37,098.24 and 8,091.20

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Solution

The fourth proportional to 24,729.86, 37,098.24 and 8,091.20 is: 12,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.86 : 37,098.24 = 8,091.20 : x
  2. Step 2: Convert to fraction form
    24,729.86/37,098.24 = 8,091.20/x
  3. Step 3: Cross multiply
    24,729.86x = 37,098.24 × 8,091.20
  4. Step 4: Simplify right side
    24,729.86x = 300,169,053.54
  5. Step 5: Solve for x
    x = 300,169,053.54/24,729.86
  6. Step 6: Final answer
    x = 12,137.92

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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.