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Finding the Fourth Proportional to 24,717.80, 37,076.40 and 5,998

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Solution

The fourth proportional to 24,717.80, 37,076.40 and 5,998 is: 8,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717.80 : 37,076.40 = 5,998 : x
  2. Step 2: Convert to fraction form
    24,717.80/37,076.40 = 5,998/x
  3. Step 3: Cross multiply
    24,717.80x = 37,076.40 × 5,998
  4. Step 4: Simplify right side
    24,717.80x = 222,384,247.20
  5. Step 5: Solve for x
    x = 222,384,247.20/24,717.80
  6. Step 6: Final answer
    x = 8,996.93

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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.