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Finding the Fourth Proportional to 16,108, 22,229.08 and 9,398.24

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Solution

The fourth proportional to 16,108, 22,229.08 and 9,398.24 is: 12,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108 : 22,229.08 = 9,398.24 : x
  2. Step 2: Convert to fraction form
    16,108/22,229.08 = 9,398.24/x
  3. Step 3: Cross multiply
    16,108x = 22,229.08 × 9,398.24
  4. Step 4: Simplify right side
    16,108x = 208,914,228.82
  5. Step 5: Solve for x
    x = 208,914,228.82/16,108
  6. Step 6: Final answer
    x = 12,969.59

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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.