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Finding the Fourth Proportional to 16,947.60, 23,379.60 and 11,284.96

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Solution

The fourth proportional to 16,947.60, 23,379.60 and 11,284.96 is: 15,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.60 : 23,379.60 = 11,284.96 : x
  2. Step 2: Convert to fraction form
    16,947.60/23,379.60 = 11,284.96/x
  3. Step 3: Cross multiply
    16,947.60x = 23,379.60 × 11,284.96
  4. Step 4: Simplify right side
    16,947.60x = 263,837,850.82
  5. Step 5: Solve for x
    x = 263,837,850.82/16,947.60
  6. Step 6: Final answer
    x = 15,567.86

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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.