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Finding the Fourth Proportional to 22,713.20, 34,071.24 and 7,131.44

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Solution

The fourth proportional to 22,713.20, 34,071.24 and 7,131.44 is: 10,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.20 : 34,071.24 = 7,131.44 : x
  2. Step 2: Convert to fraction form
    22,713.20/34,071.24 = 7,131.44/x
  3. Step 3: Cross multiply
    22,713.20x = 34,071.24 × 7,131.44
  4. Step 4: Simplify right side
    22,713.20x = 242,976,797.77
  5. Step 5: Solve for x
    x = 242,976,797.77/22,713.20
  6. Step 6: Final answer
    x = 10,697.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.