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Finding the Fourth Proportional to 24,022.56, 36,033.84 and 8,436.60

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Solution

The fourth proportional to 24,022.56, 36,033.84 and 8,436.60 is: 12,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.56 : 36,033.84 = 8,436.60 : x
  2. Step 2: Convert to fraction form
    24,022.56/36,033.84 = 8,436.60/x
  3. Step 3: Cross multiply
    24,022.56x = 36,033.84 × 8,436.60
  4. Step 4: Simplify right side
    24,022.56x = 304,003,094.54
  5. Step 5: Solve for x
    x = 304,003,094.54/24,022.56
  6. Step 6: Final answer
    x = 12,654.90

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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.