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Finding the Fourth Proportional to 13,820.94, 20,728.05 and 3,957.90

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Solution

The fourth proportional to 13,820.94, 20,728.05 and 3,957.90 is: 5,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.94 : 20,728.05 = 3,957.90 : x
  2. Step 2: Convert to fraction form
    13,820.94/20,728.05 = 3,957.90/x
  3. Step 3: Cross multiply
    13,820.94x = 20,728.05 × 3,957.90
  4. Step 4: Simplify right side
    13,820.94x = 82,039,549.10
  5. Step 5: Solve for x
    x = 82,039,549.10/13,820.94
  6. Step 6: Final answer
    x = 5,935.89

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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.