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Finding the Fourth Proportional to 11,857.21, 17,677.75 and 11,554.27

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Solution

The fourth proportional to 11,857.21, 17,677.75 and 11,554.27 is: 17,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.21 : 17,677.75 = 11,554.27 : x
  2. Step 2: Convert to fraction form
    11,857.21/17,677.75 = 11,554.27/x
  3. Step 3: Cross multiply
    11,857.21x = 17,677.75 × 11,554.27
  4. Step 4: Simplify right side
    11,857.21x = 204,253,496.49
  5. Step 5: Solve for x
    x = 204,253,496.49/11,857.21
  6. Step 6: Final answer
    x = 17,226.10

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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.