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Finding the Fourth Proportional to 17,648.26, 26,472.38 and 5,336.26

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Solution

The fourth proportional to 17,648.26, 26,472.38 and 5,336.26 is: 8,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.26 : 26,472.38 = 5,336.26 : x
  2. Step 2: Convert to fraction form
    17,648.26/26,472.38 = 5,336.26/x
  3. Step 3: Cross multiply
    17,648.26x = 26,472.38 × 5,336.26
  4. Step 4: Simplify right side
    17,648.26x = 141,263,502.50
  5. Step 5: Solve for x
    x = 141,263,502.50/17,648.26
  6. Step 6: Final answer
    x = 8,004.39

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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.