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Finding the Fourth Proportional to 23,677.82, 32,816.48 and 23,234.95

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Solution

The fourth proportional to 23,677.82, 32,816.48 and 23,234.95 is: 32,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.82 : 32,816.48 = 23,234.95 : x
  2. Step 2: Convert to fraction form
    23,677.82/32,816.48 = 23,234.95/x
  3. Step 3: Cross multiply
    23,677.82x = 32,816.48 × 23,234.95
  4. Step 4: Simplify right side
    23,677.82x = 762,489,271.98
  5. Step 5: Solve for x
    x = 762,489,271.98/23,677.82
  6. Step 6: Final answer
    x = 32,202.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.