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Finding the Fourth Proportional to 20,097.62, 27,727.92 and 13,025.46

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Solution

The fourth proportional to 20,097.62, 27,727.92 and 13,025.46 is: 17,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.62 : 27,727.92 = 13,025.46 : x
  2. Step 2: Convert to fraction form
    20,097.62/27,727.92 = 13,025.46/x
  3. Step 3: Cross multiply
    20,097.62x = 27,727.92 × 13,025.46
  4. Step 4: Simplify right side
    20,097.62x = 361,168,912.84
  5. Step 5: Solve for x
    x = 361,168,912.84/20,097.62
  6. Step 6: Final answer
    x = 17,970.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.