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Finding the Fourth Proportional to 12,546.72, 17,314.40 and 7,241.44

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Solution

The fourth proportional to 12,546.72, 17,314.40 and 7,241.44 is: 9,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.72 : 17,314.40 = 7,241.44 : x
  2. Step 2: Convert to fraction form
    12,546.72/17,314.40 = 7,241.44/x
  3. Step 3: Cross multiply
    12,546.72x = 17,314.40 × 7,241.44
  4. Step 4: Simplify right side
    12,546.72x = 125,381,188.74
  5. Step 5: Solve for x
    x = 125,381,188.74/12,546.72
  6. Step 6: Final answer
    x = 9,993.14

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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.