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Finding the Fourth Proportional to 16,084.69, 22,197.78 and 9,013.39

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Solution

The fourth proportional to 16,084.69, 22,197.78 and 9,013.39 is: 12,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.69 : 22,197.78 = 9,013.39 : x
  2. Step 2: Convert to fraction form
    16,084.69/22,197.78 = 9,013.39/x
  3. Step 3: Cross multiply
    16,084.69x = 22,197.78 × 9,013.39
  4. Step 4: Simplify right side
    16,084.69x = 200,077,192.78
  5. Step 5: Solve for x
    x = 200,077,192.78/16,084.69
  6. Step 6: Final answer
    x = 12,438.99

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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.