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Finding the Fourth Proportional to 13,942.97, 20,909 and 5,056.19

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Solution

The fourth proportional to 13,942.97, 20,909 and 5,056.19 is: 7,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.97 : 20,909 = 5,056.19 : x
  2. Step 2: Convert to fraction form
    13,942.97/20,909 = 5,056.19/x
  3. Step 3: Cross multiply
    13,942.97x = 20,909 × 5,056.19
  4. Step 4: Simplify right side
    13,942.97x = 105,719,772.17
  5. Step 5: Solve for x
    x = 105,719,772.17/13,942.97
  6. Step 6: Final answer
    x = 7,582.30

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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.