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Finding the Fourth Proportional to 11,839.36, 17,779.20 and 11,344

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Solution

The fourth proportional to 11,839.36, 17,779.20 and 11,344 is: 17,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.36 : 17,779.20 = 11,344 : x
  2. Step 2: Convert to fraction form
    11,839.36/17,779.20 = 11,344/x
  3. Step 3: Cross multiply
    11,839.36x = 17,779.20 × 11,344
  4. Step 4: Simplify right side
    11,839.36x = 201,687,244.80
  5. Step 5: Solve for x
    x = 201,687,244.80/11,839.36
  6. Step 6: Final answer
    x = 17,035.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.