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Finding the Fourth Proportional to 16,268.34, 22,452.86 and 9,896.91

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Solution

The fourth proportional to 16,268.34, 22,452.86 and 9,896.91 is: 13,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.34 : 22,452.86 = 9,896.91 : x
  2. Step 2: Convert to fraction form
    16,268.34/22,452.86 = 9,896.91/x
  3. Step 3: Cross multiply
    16,268.34x = 22,452.86 × 9,896.91
  4. Step 4: Simplify right side
    16,268.34x = 222,213,885.18
  5. Step 5: Solve for x
    x = 222,213,885.18/16,268.34
  6. Step 6: Final answer
    x = 13,659.28

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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.