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Finding the Fourth Proportional to 11,815.80, 17,658.41 and 11,132.97

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Solution

The fourth proportional to 11,815.80, 17,658.41 and 11,132.97 is: 16,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.80 : 17,658.41 = 11,132.97 : x
  2. Step 2: Convert to fraction form
    11,815.80/17,658.41 = 11,132.97/x
  3. Step 3: Cross multiply
    11,815.80x = 17,658.41 × 11,132.97
  4. Step 4: Simplify right side
    11,815.80x = 196,590,460.49
  5. Step 5: Solve for x
    x = 196,590,460.49/11,815.80
  6. Step 6: Final answer
    x = 16,637.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.