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Finding the Fourth Proportional to 11,773.50, 17,614.89 and 11,689.26

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Solution

The fourth proportional to 11,773.50, 17,614.89 and 11,689.26 is: 17,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.50 : 17,614.89 = 11,689.26 : x
  2. Step 2: Convert to fraction form
    11,773.50/17,614.89 = 11,689.26/x
  3. Step 3: Cross multiply
    11,773.50x = 17,614.89 × 11,689.26
  4. Step 4: Simplify right side
    11,773.50x = 205,905,029.08
  5. Step 5: Solve for x
    x = 205,905,029.08/11,773.50
  6. Step 6: Final answer
    x = 17,488.85

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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.