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Finding the Fourth Proportional to 12,269.36, 16,947.54 and 9,471.32

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Solution

The fourth proportional to 12,269.36, 16,947.54 and 9,471.32 is: 13,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.36 : 16,947.54 = 9,471.32 : x
  2. Step 2: Convert to fraction form
    12,269.36/16,947.54 = 9,471.32/x
  3. Step 3: Cross multiply
    12,269.36x = 16,947.54 × 9,471.32
  4. Step 4: Simplify right side
    12,269.36x = 160,515,489.82
  5. Step 5: Solve for x
    x = 160,515,489.82/12,269.36
  6. Step 6: Final answer
    x = 13,082.63

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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.