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Finding the Fourth Proportional to 24,808.91, 37,218.99 and 8,170.61

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Solution

The fourth proportional to 24,808.91, 37,218.99 and 8,170.61 is: 12,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.91 : 37,218.99 = 8,170.61 : x
  2. Step 2: Convert to fraction form
    24,808.91/37,218.99 = 8,170.61/x
  3. Step 3: Cross multiply
    24,808.91x = 37,218.99 × 8,170.61
  4. Step 4: Simplify right side
    24,808.91x = 304,101,851.88
  5. Step 5: Solve for x
    x = 304,101,851.88/24,808.91
  6. Step 6: Final answer
    x = 12,257.77

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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.