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Finding the Fourth Proportional to 17,104, 25,657.44 and 4,792

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Solution

The fourth proportional to 17,104, 25,657.44 and 4,792 is: 7,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104 : 25,657.44 = 4,792 : x
  2. Step 2: Convert to fraction form
    17,104/25,657.44 = 4,792/x
  3. Step 3: Cross multiply
    17,104x = 25,657.44 × 4,792
  4. Step 4: Simplify right side
    17,104x = 122,950,452.48
  5. Step 5: Solve for x
    x = 122,950,452.48/17,104
  6. Step 6: Final answer
    x = 7,188.40

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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.