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Finding the Fourth Proportional to 16,297.20, 22,490.01 and 9,223.38

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Solution

The fourth proportional to 16,297.20, 22,490.01 and 9,223.38 is: 12,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.20 : 22,490.01 = 9,223.38 : x
  2. Step 2: Convert to fraction form
    16,297.20/22,490.01 = 9,223.38/x
  3. Step 3: Cross multiply
    16,297.20x = 22,490.01 × 9,223.38
  4. Step 4: Simplify right side
    16,297.20x = 207,433,908.43
  5. Step 5: Solve for x
    x = 207,433,908.43/16,297.20
  6. Step 6: Final answer
    x = 12,728.19

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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.