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Finding the Fourth Proportional to 17,203.97, 25,776.07 and 9,311.93

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Solution

The fourth proportional to 17,203.97, 25,776.07 and 9,311.93 is: 13,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.97 : 25,776.07 = 9,311.93 : x
  2. Step 2: Convert to fraction form
    17,203.97/25,776.07 = 9,311.93/x
  3. Step 3: Cross multiply
    17,203.97x = 25,776.07 × 9,311.93
  4. Step 4: Simplify right side
    17,203.97x = 240,024,904.02
  5. Step 5: Solve for x
    x = 240,024,904.02/17,203.97
  6. Step 6: Final answer
    x = 13,951.71

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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.