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Finding the Fourth Proportional to 22,406.46, 33,599.96 and 6,820.44

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Solution

The fourth proportional to 22,406.46, 33,599.96 and 6,820.44 is: 10,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.46 : 33,599.96 = 6,820.44 : x
  2. Step 2: Convert to fraction form
    22,406.46/33,599.96 = 6,820.44/x
  3. Step 3: Cross multiply
    22,406.46x = 33,599.96 × 6,820.44
  4. Step 4: Simplify right side
    22,406.46x = 229,166,511.18
  5. Step 5: Solve for x
    x = 229,166,511.18/22,406.46
  6. Step 6: Final answer
    x = 10,227.70

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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.