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Finding the Fourth Proportional to 22,491, 31,040.31 and 13,059.56

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Solution

The fourth proportional to 22,491, 31,040.31 and 13,059.56 is: 18,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491 : 31,040.31 = 13,059.56 : x
  2. Step 2: Convert to fraction form
    22,491/31,040.31 = 13,059.56/x
  3. Step 3: Cross multiply
    22,491x = 31,040.31 × 13,059.56
  4. Step 4: Simplify right side
    22,491x = 405,372,917.44
  5. Step 5: Solve for x
    x = 405,372,917.44/22,491
  6. Step 6: Final answer
    x = 18,023.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.