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Finding the Fourth Proportional to 17,228.27, 25,839.41 and 4,745.30

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Solution

The fourth proportional to 17,228.27, 25,839.41 and 4,745.30 is: 7,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.27 : 25,839.41 = 4,745.30 : x
  2. Step 2: Convert to fraction form
    17,228.27/25,839.41 = 4,745.30/x
  3. Step 3: Cross multiply
    17,228.27x = 25,839.41 × 4,745.30
  4. Step 4: Simplify right side
    17,228.27x = 122,615,599.35
  5. Step 5: Solve for x
    x = 122,615,599.35/17,228.27
  6. Step 6: Final answer
    x = 7,117.12

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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.