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Finding the Fourth Proportional to 16,009, 24,023.22 and 6,775

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Solution

The fourth proportional to 16,009, 24,023.22 and 6,775 is: 10,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009 : 24,023.22 = 6,775 : x
  2. Step 2: Convert to fraction form
    16,009/24,023.22 = 6,775/x
  3. Step 3: Cross multiply
    16,009x = 24,023.22 × 6,775
  4. Step 4: Simplify right side
    16,009x = 162,757,315.50
  5. Step 5: Solve for x
    x = 162,757,315.50/16,009
  6. Step 6: Final answer
    x = 10,166.61

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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.