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Finding the Fourth Proportional to 16,340.89, 22,549.60 and 9,267.97

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Solution

The fourth proportional to 16,340.89, 22,549.60 and 9,267.97 is: 12,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.89 : 22,549.60 = 9,267.97 : x
  2. Step 2: Convert to fraction form
    16,340.89/22,549.60 = 9,267.97/x
  3. Step 3: Cross multiply
    16,340.89x = 22,549.60 × 9,267.97
  4. Step 4: Simplify right side
    16,340.89x = 208,989,016.31
  5. Step 5: Solve for x
    x = 208,989,016.31/16,340.89
  6. Step 6: Final answer
    x = 12,789.33

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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.