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Finding the Fourth Proportional to 24,821.06, 37,231.07 and 8,182.09

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Solution

The fourth proportional to 24,821.06, 37,231.07 and 8,182.09 is: 12,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.06 : 37,231.07 = 8,182.09 : x
  2. Step 2: Convert to fraction form
    24,821.06/37,231.07 = 8,182.09/x
  3. Step 3: Cross multiply
    24,821.06x = 37,231.07 × 8,182.09
  4. Step 4: Simplify right side
    24,821.06x = 304,627,965.54
  5. Step 5: Solve for x
    x = 304,627,965.54/24,821.06
  6. Step 6: Final answer
    x = 12,272.96

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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.