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Finding the Fourth Proportional to 20,754.74, 31,104.68 and 7,594.44

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Solution

The fourth proportional to 20,754.74, 31,104.68 and 7,594.44 is: 11,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.74 : 31,104.68 = 7,594.44 : x
  2. Step 2: Convert to fraction form
    20,754.74/31,104.68 = 7,594.44/x
  3. Step 3: Cross multiply
    20,754.74x = 31,104.68 × 7,594.44
  4. Step 4: Simplify right side
    20,754.74x = 236,222,625.98
  5. Step 5: Solve for x
    x = 236,222,625.98/20,754.74
  6. Step 6: Final answer
    x = 11,381.62

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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.