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Finding the Fourth Proportional to 16,297.14, 22,490.22 and 9,223.38

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Solution

The fourth proportional to 16,297.14, 22,490.22 and 9,223.38 is: 12,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.14 : 22,490.22 = 9,223.38 : x
  2. Step 2: Convert to fraction form
    16,297.14/22,490.22 = 9,223.38/x
  3. Step 3: Cross multiply
    16,297.14x = 22,490.22 × 9,223.38
  4. Step 4: Simplify right side
    16,297.14x = 207,435,845.34
  5. Step 5: Solve for x
    x = 207,435,845.34/16,297.14
  6. Step 6: Final answer
    x = 12,728.36

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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.