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Finding the Fourth Proportional to 20,513.94, 30,768.17 and 5,721.62

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Solution

The fourth proportional to 20,513.94, 30,768.17 and 5,721.62 is: 8,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.94 : 30,768.17 = 5,721.62 : x
  2. Step 2: Convert to fraction form
    20,513.94/30,768.17 = 5,721.62/x
  3. Step 3: Cross multiply
    20,513.94x = 30,768.17 × 5,721.62
  4. Step 4: Simplify right side
    20,513.94x = 176,043,637.30
  5. Step 5: Solve for x
    x = 176,043,637.30/20,513.94
  6. Step 6: Final answer
    x = 8,581.66

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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.