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Finding the Fourth Proportional to 24,718.20, 37,076.98 and 5,998.38

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Solution

The fourth proportional to 24,718.20, 37,076.98 and 5,998.38 is: 8,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.20 : 37,076.98 = 5,998.38 : x
  2. Step 2: Convert to fraction form
    24,718.20/37,076.98 = 5,998.38/x
  3. Step 3: Cross multiply
    24,718.20x = 37,076.98 × 5,998.38
  4. Step 4: Simplify right side
    24,718.20x = 222,401,815.29
  5. Step 5: Solve for x
    x = 222,401,815.29/24,718.20
  6. Step 6: Final answer
    x = 8,997.49

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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.