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Finding the Fourth Proportional to 39,513.72, 59,269.14 and 11,811

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Solution

The fourth proportional to 39,513.72, 59,269.14 and 11,811 is: 17,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513.72 : 59,269.14 = 11,811 : x
  2. Step 2: Convert to fraction form
    39,513.72/59,269.14 = 11,811/x
  3. Step 3: Cross multiply
    39,513.72x = 59,269.14 × 11,811
  4. Step 4: Simplify right side
    39,513.72x = 700,027,812.54
  5. Step 5: Solve for x
    x = 700,027,812.54/39,513.72
  6. Step 6: Final answer
    x = 17,716.07

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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.