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Finding the Fourth Proportional to 17,239.32, 25,863.06 and 6,147

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Solution

The fourth proportional to 17,239.32, 25,863.06 and 6,147 is: 9,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239.32 : 25,863.06 = 6,147 : x
  2. Step 2: Convert to fraction form
    17,239.32/25,863.06 = 6,147/x
  3. Step 3: Cross multiply
    17,239.32x = 25,863.06 × 6,147
  4. Step 4: Simplify right side
    17,239.32x = 158,980,229.82
  5. Step 5: Solve for x
    x = 158,980,229.82/17,239.32
  6. Step 6: Final answer
    x = 9,221.95

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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.