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Finding the Fourth Proportional to 17,626.50, 26,439.76 and 5,314.50

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Solution

The fourth proportional to 17,626.50, 26,439.76 and 5,314.50 is: 7,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.50 : 26,439.76 = 5,314.50 : x
  2. Step 2: Convert to fraction form
    17,626.50/26,439.76 = 5,314.50/x
  3. Step 3: Cross multiply
    17,626.50x = 26,439.76 × 5,314.50
  4. Step 4: Simplify right side
    17,626.50x = 140,514,104.52
  5. Step 5: Solve for x
    x = 140,514,104.52/17,626.50
  6. Step 6: Final answer
    x = 7,971.75

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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.