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Finding the Fourth Proportional to 13,836.68, 20,749.92 and 4,949.60

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Solution

The fourth proportional to 13,836.68, 20,749.92 and 4,949.60 is: 7,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.68 : 20,749.92 = 4,949.60 : x
  2. Step 2: Convert to fraction form
    13,836.68/20,749.92 = 4,949.60/x
  3. Step 3: Cross multiply
    13,836.68x = 20,749.92 × 4,949.60
  4. Step 4: Simplify right side
    13,836.68x = 102,703,700.28
  5. Step 5: Solve for x
    x = 102,703,700.28/13,836.68
  6. Step 6: Final answer
    x = 7,422.57

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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.