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Finding the Fourth Proportional to 22,047.96, 33,065.46 and 6,463.56

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Solution

The fourth proportional to 22,047.96, 33,065.46 and 6,463.56 is: 9,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.96 : 33,065.46 = 6,463.56 : x
  2. Step 2: Convert to fraction form
    22,047.96/33,065.46 = 6,463.56/x
  3. Step 3: Cross multiply
    22,047.96x = 33,065.46 × 6,463.56
  4. Step 4: Simplify right side
    22,047.96x = 213,720,584.64
  5. Step 5: Solve for x
    x = 213,720,584.64/22,047.96
  6. Step 6: Final answer
    x = 9,693.44

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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.