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Finding the Fourth Proportional to 20,513.97, 30,771.19 and 5,721.98

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Solution

The fourth proportional to 20,513.97, 30,771.19 and 5,721.98 is: 8,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.97 : 30,771.19 = 5,721.98 : x
  2. Step 2: Convert to fraction form
    20,513.97/30,771.19 = 5,721.98/x
  3. Step 3: Cross multiply
    20,513.97x = 30,771.19 × 5,721.98
  4. Step 4: Simplify right side
    20,513.97x = 176,072,133.76
  5. Step 5: Solve for x
    x = 176,072,133.76/20,513.97
  6. Step 6: Final answer
    x = 8,583.04

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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.