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Finding the Fourth Proportional to 12,847.14, 19,270.68 and 3,613.14

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Solution

The fourth proportional to 12,847.14, 19,270.68 and 3,613.14 is: 5,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.14 : 19,270.68 = 3,613.14 : x
  2. Step 2: Convert to fraction form
    12,847.14/19,270.68 = 3,613.14/x
  3. Step 3: Cross multiply
    12,847.14x = 19,270.68 × 3,613.14
  4. Step 4: Simplify right side
    12,847.14x = 69,627,664.74
  5. Step 5: Solve for x
    x = 69,627,664.74/12,847.14
  6. Step 6: Final answer
    x = 5,419.70

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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.