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Finding the Fourth Proportional to 11,563.58, 17,321.87 and 9,227.54

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Solution

The fourth proportional to 11,563.58, 17,321.87 and 9,227.54 is: 13,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.58 : 17,321.87 = 9,227.54 : x
  2. Step 2: Convert to fraction form
    11,563.58/17,321.87 = 9,227.54/x
  3. Step 3: Cross multiply
    11,563.58x = 17,321.87 × 9,227.54
  4. Step 4: Simplify right side
    11,563.58x = 159,838,314.67
  5. Step 5: Solve for x
    x = 159,838,314.67/11,563.58
  6. Step 6: Final answer
    x = 13,822.56

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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.