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Finding the Fourth Proportional to 22,406.20, 33,614.15 and 6,823.42

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Solution

The fourth proportional to 22,406.20, 33,614.15 and 6,823.42 is: 10,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.20 : 33,614.15 = 6,823.42 : x
  2. Step 2: Convert to fraction form
    22,406.20/33,614.15 = 6,823.42/x
  3. Step 3: Cross multiply
    22,406.20x = 33,614.15 × 6,823.42
  4. Step 4: Simplify right side
    22,406.20x = 229,363,345.24
  5. Step 5: Solve for x
    x = 229,363,345.24/22,406.20
  6. Step 6: Final answer
    x = 10,236.60

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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.