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Finding the Fourth Proportional to 13,820.22, 20,727.50 and 3,957.66

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Solution

The fourth proportional to 13,820.22, 20,727.50 and 3,957.66 is: 5,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.22 : 20,727.50 = 3,957.66 : x
  2. Step 2: Convert to fraction form
    13,820.22/20,727.50 = 3,957.66/x
  3. Step 3: Cross multiply
    13,820.22x = 20,727.50 × 3,957.66
  4. Step 4: Simplify right side
    13,820.22x = 82,032,377.86
  5. Step 5: Solve for x
    x = 82,032,377.86/13,820.22
  6. Step 6: Final answer
    x = 5,935.68

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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.