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Finding the Fourth Proportional to 16,043, 24,074.22 and 6,809

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Solution

The fourth proportional to 16,043, 24,074.22 and 6,809 is: 10,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043 : 24,074.22 = 6,809 : x
  2. Step 2: Convert to fraction form
    16,043/24,074.22 = 6,809/x
  3. Step 3: Cross multiply
    16,043x = 24,074.22 × 6,809
  4. Step 4: Simplify right side
    16,043x = 163,921,363.98
  5. Step 5: Solve for x
    x = 163,921,363.98/16,043
  6. Step 6: Final answer
    x = 10,217.63

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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.