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Finding the Fourth Proportional to 16,338.48, 22,549.44 and 9,169.16

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Solution

The fourth proportional to 16,338.48, 22,549.44 and 9,169.16 is: 12,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.48 : 22,549.44 = 9,169.16 : x
  2. Step 2: Convert to fraction form
    16,338.48/22,549.44 = 9,169.16/x
  3. Step 3: Cross multiply
    16,338.48x = 22,549.44 × 9,169.16
  4. Step 4: Simplify right side
    16,338.48x = 206,759,423.27
  5. Step 5: Solve for x
    x = 206,759,423.27/16,338.48
  6. Step 6: Final answer
    x = 12,654.75

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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.