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Finding the Fourth Proportional to 16,074.52, 22,183.02 and 9,001

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Solution

The fourth proportional to 16,074.52, 22,183.02 and 9,001 is: 12,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.52 : 22,183.02 = 9,001 : x
  2. Step 2: Convert to fraction form
    16,074.52/22,183.02 = 9,001/x
  3. Step 3: Cross multiply
    16,074.52x = 22,183.02 × 9,001
  4. Step 4: Simplify right side
    16,074.52x = 199,669,363.02
  5. Step 5: Solve for x
    x = 199,669,363.02/16,074.52
  6. Step 6: Final answer
    x = 12,421.48

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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.