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Finding the Fourth Proportional to 16,097.32, 22,213.10 and 9,022.38

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Solution

The fourth proportional to 16,097.32, 22,213.10 and 9,022.38 is: 12,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.32 : 22,213.10 = 9,022.38 : x
  2. Step 2: Convert to fraction form
    16,097.32/22,213.10 = 9,022.38/x
  3. Step 3: Cross multiply
    16,097.32x = 22,213.10 × 9,022.38
  4. Step 4: Simplify right side
    16,097.32x = 200,415,029.18
  5. Step 5: Solve for x
    x = 200,415,029.18/16,097.32
  6. Step 6: Final answer
    x = 12,450.21

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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.