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Finding the Fourth Proportional to 12,944.58, 17,853.24 and 8,402.29

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Solution

The fourth proportional to 12,944.58, 17,853.24 and 8,402.29 is: 11,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.58 : 17,853.24 = 8,402.29 : x
  2. Step 2: Convert to fraction form
    12,944.58/17,853.24 = 8,402.29/x
  3. Step 3: Cross multiply
    12,944.58x = 17,853.24 × 8,402.29
  4. Step 4: Simplify right side
    12,944.58x = 150,008,099.92
  5. Step 5: Solve for x
    x = 150,008,099.92/12,944.58
  6. Step 6: Final answer
    x = 11,588.49

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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.