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Finding the Fourth Proportional to 20,099.34, 27,734.81 and 11,146.01

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Solution

The fourth proportional to 20,099.34, 27,734.81 and 11,146.01 is: 15,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.34 : 27,734.81 = 11,146.01 : x
  2. Step 2: Convert to fraction form
    20,099.34/27,734.81 = 11,146.01/x
  3. Step 3: Cross multiply
    20,099.34x = 27,734.81 × 11,146.01
  4. Step 4: Simplify right side
    20,099.34x = 309,132,275.20
  5. Step 5: Solve for x
    x = 309,132,275.20/20,099.34
  6. Step 6: Final answer
    x = 15,380.22

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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.