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Finding the Fourth Proportional to 11,933.31, 17,773.92 and 11,308.80

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Solution

The fourth proportional to 11,933.31, 17,773.92 and 11,308.80 is: 16,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.31 : 17,773.92 = 11,308.80 : x
  2. Step 2: Convert to fraction form
    11,933.31/17,773.92 = 11,308.80/x
  3. Step 3: Cross multiply
    11,933.31x = 17,773.92 × 11,308.80
  4. Step 4: Simplify right side
    11,933.31x = 201,001,706.50
  5. Step 5: Solve for x
    x = 201,001,706.50/11,933.31
  6. Step 6: Final answer
    x = 16,843.75

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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.