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Finding the Fourth Proportional to 17,627, 26,437.66 and 5,144.09

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Solution

The fourth proportional to 17,627, 26,437.66 and 5,144.09 is: 7,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627 : 26,437.66 = 5,144.09 : x
  2. Step 2: Convert to fraction form
    17,627/26,437.66 = 5,144.09/x
  3. Step 3: Cross multiply
    17,627x = 26,437.66 × 5,144.09
  4. Step 4: Simplify right side
    17,627x = 135,997,702.43
  5. Step 5: Solve for x
    x = 135,997,702.43/17,627
  6. Step 6: Final answer
    x = 7,715.31

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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.