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Finding the Fourth Proportional to 15,947.96, 22,007.86 and 9,234.78

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Solution

The fourth proportional to 15,947.96, 22,007.86 and 9,234.78 is: 12,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.96 : 22,007.86 = 9,234.78 : x
  2. Step 2: Convert to fraction form
    15,947.96/22,007.86 = 9,234.78/x
  3. Step 3: Cross multiply
    15,947.96x = 22,007.86 × 9,234.78
  4. Step 4: Simplify right side
    15,947.96x = 203,237,745.37
  5. Step 5: Solve for x
    x = 203,237,745.37/15,947.96
  6. Step 6: Final answer
    x = 12,743.81

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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.