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Finding the Fourth Proportional to 22,380.94, 33,564.24 and 7,384.70

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Solution

The fourth proportional to 22,380.94, 33,564.24 and 7,384.70 is: 11,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.94 : 33,564.24 = 7,384.70 : x
  2. Step 2: Convert to fraction form
    22,380.94/33,564.24 = 7,384.70/x
  3. Step 3: Cross multiply
    22,380.94x = 33,564.24 × 7,384.70
  4. Step 4: Simplify right side
    22,380.94x = 247,861,927.04
  5. Step 5: Solve for x
    x = 247,861,927.04/22,380.94
  6. Step 6: Final answer
    x = 11,074.69

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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.