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Finding the Fourth Proportional to 17,405.50, 26,108.26 and 5,093.50

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Solution

The fourth proportional to 17,405.50, 26,108.26 and 5,093.50 is: 7,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.50 : 26,108.26 = 5,093.50 : x
  2. Step 2: Convert to fraction form
    17,405.50/26,108.26 = 5,093.50/x
  3. Step 3: Cross multiply
    17,405.50x = 26,108.26 × 5,093.50
  4. Step 4: Simplify right side
    17,405.50x = 132,982,422.31
  5. Step 5: Solve for x
    x = 132,982,422.31/17,405.50
  6. Step 6: Final answer
    x = 7,640.25

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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.