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Finding the Fourth Proportional to 16,190.74, 22,344.38 and 9,021.25

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Solution

The fourth proportional to 16,190.74, 22,344.38 and 9,021.25 is: 12,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.74 : 22,344.38 = 9,021.25 : x
  2. Step 2: Convert to fraction form
    16,190.74/22,344.38 = 9,021.25/x
  3. Step 3: Cross multiply
    16,190.74x = 22,344.38 × 9,021.25
  4. Step 4: Simplify right side
    16,190.74x = 201,574,192.97
  5. Step 5: Solve for x
    x = 201,574,192.97/16,190.74
  6. Step 6: Final answer
    x = 12,449.97

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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.