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Finding the Fourth Proportional to 16,017, 24,034.16 and 7,809

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Solution

The fourth proportional to 16,017, 24,034.16 and 7,809 is: 11,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017 : 24,034.16 = 7,809 : x
  2. Step 2: Convert to fraction form
    16,017/24,034.16 = 7,809/x
  3. Step 3: Cross multiply
    16,017x = 24,034.16 × 7,809
  4. Step 4: Simplify right side
    16,017x = 187,682,755.44
  5. Step 5: Solve for x
    x = 187,682,755.44/16,017
  6. Step 6: Final answer
    x = 11,717.72

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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.