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Finding the Fourth Proportional to 20,214.14, 27,894.81 and 11,261.18

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Solution

The fourth proportional to 20,214.14, 27,894.81 and 11,261.18 is: 15,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.14 : 27,894.81 = 11,261.18 : x
  2. Step 2: Convert to fraction form
    20,214.14/27,894.81 = 11,261.18/x
  3. Step 3: Cross multiply
    20,214.14x = 27,894.81 × 11,261.18
  4. Step 4: Simplify right side
    20,214.14x = 314,128,476.48
  5. Step 5: Solve for x
    x = 314,128,476.48/20,214.14
  6. Step 6: Final answer
    x = 15,540.04

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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.