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Finding the Fourth Proportional to 22,436.34, 33,654.78 and 8,215.05

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Solution

The fourth proportional to 22,436.34, 33,654.78 and 8,215.05 is: 12,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436.34 : 33,654.78 = 8,215.05 : x
  2. Step 2: Convert to fraction form
    22,436.34/33,654.78 = 8,215.05/x
  3. Step 3: Cross multiply
    22,436.34x = 33,654.78 × 8,215.05
  4. Step 4: Simplify right side
    22,436.34x = 276,475,700.44
  5. Step 5: Solve for x
    x = 276,475,700.44/22,436.34
  6. Step 6: Final answer
    x = 12,322.67

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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.