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Finding the Fourth Proportional to 22,589.51, 33,847.30 and 13,677.83

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Solution

The fourth proportional to 22,589.51, 33,847.30 and 13,677.83 is: 20,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.51 : 33,847.30 = 13,677.83 : x
  2. Step 2: Convert to fraction form
    22,589.51/33,847.30 = 13,677.83/x
  3. Step 3: Cross multiply
    22,589.51x = 33,847.30 × 13,677.83
  4. Step 4: Simplify right side
    22,589.51x = 462,957,665.78
  5. Step 5: Solve for x
    x = 462,957,665.78/22,589.51
  6. Step 6: Final answer
    x = 20,494.37

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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.