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Finding the Fourth Proportional to 17,311.32, 25,970.22 and 6,923.88

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Solution

The fourth proportional to 17,311.32, 25,970.22 and 6,923.88 is: 10,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.32 : 25,970.22 = 6,923.88 : x
  2. Step 2: Convert to fraction form
    17,311.32/25,970.22 = 6,923.88/x
  3. Step 3: Cross multiply
    17,311.32x = 25,970.22 × 6,923.88
  4. Step 4: Simplify right side
    17,311.32x = 179,814,686.85
  5. Step 5: Solve for x
    x = 179,814,686.85/17,311.32
  6. Step 6: Final answer
    x = 10,387.12

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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.