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Finding the Fourth Proportional to 12,541.53, 17,321.95 and 9,743.09

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Solution

The fourth proportional to 12,541.53, 17,321.95 and 9,743.09 is: 13,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.53 : 17,321.95 = 9,743.09 : x
  2. Step 2: Convert to fraction form
    12,541.53/17,321.95 = 9,743.09/x
  3. Step 3: Cross multiply
    12,541.53x = 17,321.95 × 9,743.09
  4. Step 4: Simplify right side
    12,541.53x = 168,769,243.39
  5. Step 5: Solve for x
    x = 168,769,243.39/12,541.53
  6. Step 6: Final answer
    x = 13,456.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.