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Finding the Fourth Proportional to 11,051.74, 16,507.29 and 9,496.26

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Solution

The fourth proportional to 11,051.74, 16,507.29 and 9,496.26 is: 14,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.74 : 16,507.29 = 9,496.26 : x
  2. Step 2: Convert to fraction form
    11,051.74/16,507.29 = 9,496.26/x
  3. Step 3: Cross multiply
    11,051.74x = 16,507.29 × 9,496.26
  4. Step 4: Simplify right side
    11,051.74x = 156,757,517.74
  5. Step 5: Solve for x
    x = 156,757,517.74/11,051.74
  6. Step 6: Final answer
    x = 14,183.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.