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Finding the Fourth Proportional to 24,365.31, 36,524.20 and 11,884.83

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Solution

The fourth proportional to 24,365.31, 36,524.20 and 11,884.83 is: 17,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.31 : 36,524.20 = 11,884.83 : x
  2. Step 2: Convert to fraction form
    24,365.31/36,524.20 = 11,884.83/x
  3. Step 3: Cross multiply
    24,365.31x = 36,524.20 × 11,884.83
  4. Step 4: Simplify right side
    24,365.31x = 434,083,907.89
  5. Step 5: Solve for x
    x = 434,083,907.89/24,365.31
  6. Step 6: Final answer
    x = 17,815.65

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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.