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Finding the Fourth Proportional to 17,474, 26,202.08 and 5,783

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Solution

The fourth proportional to 17,474, 26,202.08 and 5,783 is: 8,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474 : 26,202.08 = 5,783 : x
  2. Step 2: Convert to fraction form
    17,474/26,202.08 = 5,783/x
  3. Step 3: Cross multiply
    17,474x = 26,202.08 × 5,783
  4. Step 4: Simplify right side
    17,474x = 151,526,628.64
  5. Step 5: Solve for x
    x = 151,526,628.64/17,474
  6. Step 6: Final answer
    x = 8,671.55

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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.