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Finding the Fourth Proportional to 13,822.01, 20,737.17 and 4,936.20

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Solution

The fourth proportional to 13,822.01, 20,737.17 and 4,936.20 is: 7,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.01 : 20,737.17 = 4,936.20 : x
  2. Step 2: Convert to fraction form
    13,822.01/20,737.17 = 4,936.20/x
  3. Step 3: Cross multiply
    13,822.01x = 20,737.17 × 4,936.20
  4. Step 4: Simplify right side
    13,822.01x = 102,362,818.55
  5. Step 5: Solve for x
    x = 102,362,818.55/13,822.01
  6. Step 6: Final answer
    x = 7,405.79

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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.