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Finding the Fourth Proportional to 17,207.94, 25,797.28 and 7,844.66

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Solution

The fourth proportional to 17,207.94, 25,797.28 and 7,844.66 is: 11,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.94 : 25,797.28 = 7,844.66 : x
  2. Step 2: Convert to fraction form
    17,207.94/25,797.28 = 7,844.66/x
  3. Step 3: Cross multiply
    17,207.94x = 25,797.28 × 7,844.66
  4. Step 4: Simplify right side
    17,207.94x = 202,370,890.52
  5. Step 5: Solve for x
    x = 202,370,890.52/17,207.94
  6. Step 6: Final answer
    x = 11,760.32

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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.