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Finding the Fourth Proportional to 13,822.60, 20,734.96 and 4,939.84

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Solution

The fourth proportional to 13,822.60, 20,734.96 and 4,939.84 is: 7,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.60 : 20,734.96 = 4,939.84 : x
  2. Step 2: Convert to fraction form
    13,822.60/20,734.96 = 4,939.84/x
  3. Step 3: Cross multiply
    13,822.60x = 20,734.96 × 4,939.84
  4. Step 4: Simplify right side
    13,822.60x = 102,427,384.81
  5. Step 5: Solve for x
    x = 102,427,384.81/13,822.60
  6. Step 6: Final answer
    x = 7,410.14

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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.