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Finding the Fourth Proportional to 20,147.47, 27,803.53 and 11,194.76

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Solution

The fourth proportional to 20,147.47, 27,803.53 and 11,194.76 is: 15,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.47 : 27,803.53 = 11,194.76 : x
  2. Step 2: Convert to fraction form
    20,147.47/27,803.53 = 11,194.76/x
  3. Step 3: Cross multiply
    20,147.47x = 27,803.53 × 11,194.76
  4. Step 4: Simplify right side
    20,147.47x = 311,253,929.01
  5. Step 5: Solve for x
    x = 311,253,929.01/20,147.47
  6. Step 6: Final answer
    x = 15,448.79

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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.