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Finding the Fourth Proportional to 17,542.97, 26,334.17 and 7,020.41

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Solution

The fourth proportional to 17,542.97, 26,334.17 and 7,020.41 is: 10,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.97 : 26,334.17 = 7,020.41 : x
  2. Step 2: Convert to fraction form
    17,542.97/26,334.17 = 7,020.41/x
  3. Step 3: Cross multiply
    17,542.97x = 26,334.17 × 7,020.41
  4. Step 4: Simplify right side
    17,542.97x = 184,876,670.41
  5. Step 5: Solve for x
    x = 184,876,670.41/17,542.97
  6. Step 6: Final answer
    x = 10,538.50

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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.