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Finding the Fourth Proportional to 17,957.98, 26,942.46 and 9,199.10

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Solution

The fourth proportional to 17,957.98, 26,942.46 and 9,199.10 is: 13,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.98 : 26,942.46 = 9,199.10 : x
  2. Step 2: Convert to fraction form
    17,957.98/26,942.46 = 9,199.10/x
  3. Step 3: Cross multiply
    17,957.98x = 26,942.46 × 9,199.10
  4. Step 4: Simplify right side
    17,957.98x = 247,846,383.79
  5. Step 5: Solve for x
    x = 247,846,383.79/17,957.98
  6. Step 6: Final answer
    x = 13,801.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.