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Finding the Fourth Proportional to 20,147.19, 27,803.14 and 11,194.48

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Solution

The fourth proportional to 20,147.19, 27,803.14 and 11,194.48 is: 15,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.19 : 27,803.14 = 11,194.48 : x
  2. Step 2: Convert to fraction form
    20,147.19/27,803.14 = 11,194.48/x
  3. Step 3: Cross multiply
    20,147.19x = 27,803.14 × 11,194.48
  4. Step 4: Simplify right side
    20,147.19x = 311,241,764.40
  5. Step 5: Solve for x
    x = 311,241,764.40/20,147.19
  6. Step 6: Final answer
    x = 15,448.40

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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.