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Finding the Fourth Proportional to 38,415.14, 57,622.70 and 9,231.14

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Solution

The fourth proportional to 38,415.14, 57,622.70 and 9,231.14 is: 13,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.14 : 57,622.70 = 9,231.14 : x
  2. Step 2: Convert to fraction form
    38,415.14/57,622.70 = 9,231.14/x
  3. Step 3: Cross multiply
    38,415.14x = 57,622.70 × 9,231.14
  4. Step 4: Simplify right side
    38,415.14x = 531,923,210.88
  5. Step 5: Solve for x
    x = 531,923,210.88/38,415.14
  6. Step 6: Final answer
    x = 13,846.71

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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.