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Finding the Fourth Proportional to 12,813.68, 19,214.75 and 5,414.33

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Solution

The fourth proportional to 12,813.68, 19,214.75 and 5,414.33 is: 8,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.68 : 19,214.75 = 5,414.33 : x
  2. Step 2: Convert to fraction form
    12,813.68/19,214.75 = 5,414.33/x
  3. Step 3: Cross multiply
    12,813.68x = 19,214.75 × 5,414.33
  4. Step 4: Simplify right side
    12,813.68x = 104,034,874.22
  5. Step 5: Solve for x
    x = 104,034,874.22/12,813.68
  6. Step 6: Final answer
    x = 8,119.05

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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.