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Finding the Fourth Proportional to 20,113.90, 27,754.94 and 11,159.17

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Solution

The fourth proportional to 20,113.90, 27,754.94 and 11,159.17 is: 15,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.90 : 27,754.94 = 11,159.17 : x
  2. Step 2: Convert to fraction form
    20,113.90/27,754.94 = 11,159.17/x
  3. Step 3: Cross multiply
    20,113.90x = 27,754.94 × 11,159.17
  4. Step 4: Simplify right side
    20,113.90x = 309,722,052.31
  5. Step 5: Solve for x
    x = 309,722,052.31/20,113.90
  6. Step 6: Final answer
    x = 15,398.41

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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.