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Finding the Fourth Proportional to 20,175.73, 30,251.30 and 7,682.41

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Solution

The fourth proportional to 20,175.73, 30,251.30 and 7,682.41 is: 11,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.73 : 30,251.30 = 7,682.41 : x
  2. Step 2: Convert to fraction form
    20,175.73/30,251.30 = 7,682.41/x
  3. Step 3: Cross multiply
    20,175.73x = 30,251.30 × 7,682.41
  4. Step 4: Simplify right side
    20,175.73x = 232,402,889.63
  5. Step 5: Solve for x
    x = 232,402,889.63/20,175.73
  6. Step 6: Final answer
    x = 11,518.93

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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.