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Finding the Fourth Proportional to 20,147.40, 27,802.08 and 11,194.68

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Solution

The fourth proportional to 20,147.40, 27,802.08 and 11,194.68 is: 15,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.40 : 27,802.08 = 11,194.68 : x
  2. Step 2: Convert to fraction form
    20,147.40/27,802.08 = 11,194.68/x
  3. Step 3: Cross multiply
    20,147.40x = 27,802.08 × 11,194.68
  4. Step 4: Simplify right side
    20,147.40x = 311,235,388.93
  5. Step 5: Solve for x
    x = 311,235,388.93/20,147.40
  6. Step 6: Final answer
    x = 15,447.92

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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.