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Finding the Fourth Proportional to 17,255.98, 25,884 and 7,394.50

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Solution

The fourth proportional to 17,255.98, 25,884 and 7,394.50 is: 11,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.98 : 25,884 = 7,394.50 : x
  2. Step 2: Convert to fraction form
    17,255.98/25,884 = 7,394.50/x
  3. Step 3: Cross multiply
    17,255.98x = 25,884 × 7,394.50
  4. Step 4: Simplify right side
    17,255.98x = 191,399,238
  5. Step 5: Solve for x
    x = 191,399,238/17,255.98
  6. Step 6: Final answer
    x = 11,091.76

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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.