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Finding the Fourth Proportional to 16,493, 22,760.61 and 9,041

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Solution

The fourth proportional to 16,493, 22,760.61 and 9,041 is: 12,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493 : 22,760.61 = 9,041 : x
  2. Step 2: Convert to fraction form
    16,493/22,760.61 = 9,041/x
  3. Step 3: Cross multiply
    16,493x = 22,760.61 × 9,041
  4. Step 4: Simplify right side
    16,493x = 205,778,675.01
  5. Step 5: Solve for x
    x = 205,778,675.01/16,493
  6. Step 6: Final answer
    x = 12,476.73

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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.