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Finding the Fourth Proportional to 20,103.70, 27,742.60 and 11,151.40

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Solution

The fourth proportional to 20,103.70, 27,742.60 and 11,151.40 is: 15,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.70 : 27,742.60 = 11,151.40 : x
  2. Step 2: Convert to fraction form
    20,103.70/27,742.60 = 11,151.40/x
  3. Step 3: Cross multiply
    20,103.70x = 27,742.60 × 11,151.40
  4. Step 4: Simplify right side
    20,103.70x = 309,368,829.64
  5. Step 5: Solve for x
    x = 309,368,829.64/20,103.70
  6. Step 6: Final answer
    x = 15,388.65

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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.