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Finding the Fourth Proportional to 11,817.49, 17,731.45 and 6,269.48

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Solution

The fourth proportional to 11,817.49, 17,731.45 and 6,269.48 is: 9,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.49 : 17,731.45 = 6,269.48 : x
  2. Step 2: Convert to fraction form
    11,817.49/17,731.45 = 6,269.48/x
  3. Step 3: Cross multiply
    11,817.49x = 17,731.45 × 6,269.48
  4. Step 4: Simplify right side
    11,817.49x = 111,166,971.15
  5. Step 5: Solve for x
    x = 111,166,971.15/11,817.49
  6. Step 6: Final answer
    x = 9,406.99

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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.