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Finding the Fourth Proportional to 11,699.60, 17,554.24 and 6,151.60

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Solution

The fourth proportional to 11,699.60, 17,554.24 and 6,151.60 is: 9,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.60 : 17,554.24 = 6,151.60 : x
  2. Step 2: Convert to fraction form
    11,699.60/17,554.24 = 6,151.60/x
  3. Step 3: Cross multiply
    11,699.60x = 17,554.24 × 6,151.60
  4. Step 4: Simplify right side
    11,699.60x = 107,986,662.78
  5. Step 5: Solve for x
    x = 107,986,662.78/11,699.60
  6. Step 6: Final answer
    x = 9,229.94

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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.