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Finding the Fourth Proportional to 12,186.49, 18,279.70 and 9,972.16

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Solution

The fourth proportional to 12,186.49, 18,279.70 and 9,972.16 is: 14,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.49 : 18,279.70 = 9,972.16 : x
  2. Step 2: Convert to fraction form
    12,186.49/18,279.70 = 9,972.16/x
  3. Step 3: Cross multiply
    12,186.49x = 18,279.70 × 9,972.16
  4. Step 4: Simplify right side
    12,186.49x = 182,288,093.15
  5. Step 5: Solve for x
    x = 182,288,093.15/12,186.49
  6. Step 6: Final answer
    x = 14,958.21

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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.