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Finding the Fourth Proportional to 12,523.23, 17,272.08 and 8,047.44

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Solution

The fourth proportional to 12,523.23, 17,272.08 and 8,047.44 is: 11,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.23 : 17,272.08 = 8,047.44 : x
  2. Step 2: Convert to fraction form
    12,523.23/17,272.08 = 8,047.44/x
  3. Step 3: Cross multiply
    12,523.23x = 17,272.08 × 8,047.44
  4. Step 4: Simplify right side
    12,523.23x = 138,996,027.48
  5. Step 5: Solve for x
    x = 138,996,027.48/12,523.23
  6. Step 6: Final answer
    x = 11,099.06

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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.