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Finding the Fourth Proportional to 12,427.68, 18,641.16 and 5,850.12

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Solution

The fourth proportional to 12,427.68, 18,641.16 and 5,850.12 is: 8,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.68 : 18,641.16 = 5,850.12 : x
  2. Step 2: Convert to fraction form
    12,427.68/18,641.16 = 5,850.12/x
  3. Step 3: Cross multiply
    12,427.68x = 18,641.16 × 5,850.12
  4. Step 4: Simplify right side
    12,427.68x = 109,053,022.94
  5. Step 5: Solve for x
    x = 109,053,022.94/12,427.68
  6. Step 6: Final answer
    x = 8,775.01

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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.