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Finding the Fourth Proportional to 17,149.16, 25,712.40 and 11,288

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Solution

The fourth proportional to 17,149.16, 25,712.40 and 11,288 is: 16,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.16 : 25,712.40 = 11,288 : x
  2. Step 2: Convert to fraction form
    17,149.16/25,712.40 = 11,288/x
  3. Step 3: Cross multiply
    17,149.16x = 25,712.40 × 11,288
  4. Step 4: Simplify right side
    17,149.16x = 290,241,571.20
  5. Step 5: Solve for x
    x = 290,241,571.20/17,149.16
  6. Step 6: Final answer
    x = 16,924.54

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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.