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Finding the Fourth Proportional to 23,806.71, 35,709.71 and 5,795

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Solution

The fourth proportional to 23,806.71, 35,709.71 and 5,795 is: 8,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.71 : 35,709.71 = 5,795 : x
  2. Step 2: Convert to fraction form
    23,806.71/35,709.71 = 5,795/x
  3. Step 3: Cross multiply
    23,806.71x = 35,709.71 × 5,795
  4. Step 4: Simplify right side
    23,806.71x = 206,937,769.45
  5. Step 5: Solve for x
    x = 206,937,769.45/23,806.71
  6. Step 6: Final answer
    x = 8,692.41

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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.