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Finding the Fourth Proportional to 16,201, 22,357.38 and 8,749

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Solution

The fourth proportional to 16,201, 22,357.38 and 8,749 is: 12,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201 : 22,357.38 = 8,749 : x
  2. Step 2: Convert to fraction form
    16,201/22,357.38 = 8,749/x
  3. Step 3: Cross multiply
    16,201x = 22,357.38 × 8,749
  4. Step 4: Simplify right side
    16,201x = 195,604,717.62
  5. Step 5: Solve for x
    x = 195,604,717.62/16,201
  6. Step 6: Final answer
    x = 12,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.