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Finding the Fourth Proportional to 22,154.64, 33,231.34 and 9,674.56

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Solution

The fourth proportional to 22,154.64, 33,231.34 and 9,674.56 is: 14,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.64 : 33,231.34 = 9,674.56 : x
  2. Step 2: Convert to fraction form
    22,154.64/33,231.34 = 9,674.56/x
  3. Step 3: Cross multiply
    22,154.64x = 33,231.34 × 9,674.56
  4. Step 4: Simplify right side
    22,154.64x = 321,498,592.71
  5. Step 5: Solve for x
    x = 321,498,592.71/22,154.64
  6. Step 6: Final answer
    x = 14,511.57

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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.