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Finding the Fourth Proportional to 13,841.28, 20,741.76 and 6,906.24

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Solution

The fourth proportional to 13,841.28, 20,741.76 and 6,906.24 is: 10,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.28 : 20,741.76 = 6,906.24 : x
  2. Step 2: Convert to fraction form
    13,841.28/20,741.76 = 6,906.24/x
  3. Step 3: Cross multiply
    13,841.28x = 20,741.76 × 6,906.24
  4. Step 4: Simplify right side
    13,841.28x = 143,247,572.58
  5. Step 5: Solve for x
    x = 143,247,572.58/13,841.28
  6. Step 6: Final answer
    x = 10,349.30

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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.