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Finding the Fourth Proportional to 12,451.14, 18,676.74 and 10,251.06

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Solution

The fourth proportional to 12,451.14, 18,676.74 and 10,251.06 is: 15,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.14 : 18,676.74 = 10,251.06 : x
  2. Step 2: Convert to fraction form
    12,451.14/18,676.74 = 10,251.06/x
  3. Step 3: Cross multiply
    12,451.14x = 18,676.74 × 10,251.06
  4. Step 4: Simplify right side
    12,451.14x = 191,456,382.34
  5. Step 5: Solve for x
    x = 191,456,382.34/12,451.14
  6. Step 6: Final answer
    x = 15,376.61

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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.