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Finding the Fourth Proportional to 24,806.82, 37,215.34 and 8,167.84

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Solution

The fourth proportional to 24,806.82, 37,215.34 and 8,167.84 is: 12,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.82 : 37,215.34 = 8,167.84 : x
  2. Step 2: Convert to fraction form
    24,806.82/37,215.34 = 8,167.84/x
  3. Step 3: Cross multiply
    24,806.82x = 37,215.34 × 8,167.84
  4. Step 4: Simplify right side
    24,806.82x = 303,968,942.67
  5. Step 5: Solve for x
    x = 303,968,942.67/24,806.82
  6. Step 6: Final answer
    x = 12,253.44

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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.