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Finding the Fourth Proportional to 20,513.47, 30,770.44 and 5,721.48

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Solution

The fourth proportional to 20,513.47, 30,770.44 and 5,721.48 is: 8,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.47 : 30,770.44 = 5,721.48 : x
  2. Step 2: Convert to fraction form
    20,513.47/30,770.44 = 5,721.48/x
  3. Step 3: Cross multiply
    20,513.47x = 30,770.44 × 5,721.48
  4. Step 4: Simplify right side
    20,513.47x = 176,052,457.05
  5. Step 5: Solve for x
    x = 176,052,457.05/20,513.47
  6. Step 6: Final answer
    x = 8,582.29

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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.