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Finding the Fourth Proportional to 16,297.38, 22,490.74 and 9,223.80

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Solution

The fourth proportional to 16,297.38, 22,490.74 and 9,223.80 is: 12,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.38 : 22,490.74 = 9,223.80 : x
  2. Step 2: Convert to fraction form
    16,297.38/22,490.74 = 9,223.80/x
  3. Step 3: Cross multiply
    16,297.38x = 22,490.74 × 9,223.80
  4. Step 4: Simplify right side
    16,297.38x = 207,450,087.61
  5. Step 5: Solve for x
    x = 207,450,087.61/16,297.38
  6. Step 6: Final answer
    x = 12,729.05

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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.