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Finding the Fourth Proportional to 15,025.70, 22,532.78 and 5,163.14

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Solution

The fourth proportional to 15,025.70, 22,532.78 and 5,163.14 is: 7,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,025.70 : 22,532.78 = 5,163.14 : x
  2. Step 2: Convert to fraction form
    15,025.70/22,532.78 = 5,163.14/x
  3. Step 3: Cross multiply
    15,025.70x = 22,532.78 × 5,163.14
  4. Step 4: Simplify right side
    15,025.70x = 116,339,797.97
  5. Step 5: Solve for x
    x = 116,339,797.97/15,025.70
  6. Step 6: Final answer
    x = 7,742.72

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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.