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Finding the Fourth Proportional to 22,715.20, 34,074.24 and 7,133.44

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Solution

The fourth proportional to 22,715.20, 34,074.24 and 7,133.44 is: 10,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.20 : 34,074.24 = 7,133.44 : x
  2. Step 2: Convert to fraction form
    22,715.20/34,074.24 = 7,133.44/x
  3. Step 3: Cross multiply
    22,715.20x = 34,074.24 × 7,133.44
  4. Step 4: Simplify right side
    22,715.20x = 243,066,546.59
  5. Step 5: Solve for x
    x = 243,066,546.59/22,715.20
  6. Step 6: Final answer
    x = 10,700.61

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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.