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Finding the Fourth Proportional to 20,104.78, 27,744.40 and 11,152.06

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Solution

The fourth proportional to 20,104.78, 27,744.40 and 11,152.06 is: 15,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.78 : 27,744.40 = 11,152.06 : x
  2. Step 2: Convert to fraction form
    20,104.78/27,744.40 = 11,152.06/x
  3. Step 3: Cross multiply
    20,104.78x = 27,744.40 × 11,152.06
  4. Step 4: Simplify right side
    20,104.78x = 309,407,213.46
  5. Step 5: Solve for x
    x = 309,407,213.46/20,104.78
  6. Step 6: Final answer
    x = 15,389.73

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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.