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Finding the Fourth Proportional to 38,236.24, 57,354.34 and 11,943.24

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Solution

The fourth proportional to 38,236.24, 57,354.34 and 11,943.24 is: 17,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236.24 : 57,354.34 = 11,943.24 : x
  2. Step 2: Convert to fraction form
    38,236.24/57,354.34 = 11,943.24/x
  3. Step 3: Cross multiply
    38,236.24x = 57,354.34 × 11,943.24
  4. Step 4: Simplify right side
    38,236.24x = 684,996,647.66
  5. Step 5: Solve for x
    x = 684,996,647.66/38,236.24
  6. Step 6: Final answer
    x = 17,914.85

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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.