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Finding the Fourth Proportional to 17,027, 25,535.66 and 7,168.52

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Solution

The fourth proportional to 17,027, 25,535.66 and 7,168.52 is: 10,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027 : 25,535.66 = 7,168.52 : x
  2. Step 2: Convert to fraction form
    17,027/25,535.66 = 7,168.52/x
  3. Step 3: Cross multiply
    17,027x = 25,535.66 × 7,168.52
  4. Step 4: Simplify right side
    17,027x = 183,052,889.42
  5. Step 5: Solve for x
    x = 183,052,889.42/17,027
  6. Step 6: Final answer
    x = 10,750.74

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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.