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Finding the Fourth Proportional to 17,542, 26,317.56 and 5,230

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Solution

The fourth proportional to 17,542, 26,317.56 and 5,230 is: 7,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542 : 26,317.56 = 5,230 : x
  2. Step 2: Convert to fraction form
    17,542/26,317.56 = 5,230/x
  3. Step 3: Cross multiply
    17,542x = 26,317.56 × 5,230
  4. Step 4: Simplify right side
    17,542x = 137,640,838.80
  5. Step 5: Solve for x
    x = 137,640,838.80/17,542
  6. Step 6: Final answer
    x = 7,846.36

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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.