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Finding the Fourth Proportional to 24,512.37, 36,768.38 and 6,982.17

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Solution

The fourth proportional to 24,512.37, 36,768.38 and 6,982.17 is: 10,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.37 : 36,768.38 = 6,982.17 : x
  2. Step 2: Convert to fraction form
    24,512.37/36,768.38 = 6,982.17/x
  3. Step 3: Cross multiply
    24,512.37x = 36,768.38 × 6,982.17
  4. Step 4: Simplify right side
    24,512.37x = 256,723,044.87
  5. Step 5: Solve for x
    x = 256,723,044.87/24,512.37
  6. Step 6: Final answer
    x = 10,473.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.