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Finding the Fourth Proportional to 20,107.43, 27,748.03 and 11,155

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Solution

The fourth proportional to 20,107.43, 27,748.03 and 11,155 is: 15,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.43 : 27,748.03 = 11,155 : x
  2. Step 2: Convert to fraction form
    20,107.43/27,748.03 = 11,155/x
  3. Step 3: Cross multiply
    20,107.43x = 27,748.03 × 11,155
  4. Step 4: Simplify right side
    20,107.43x = 309,529,274.65
  5. Step 5: Solve for x
    x = 309,529,274.65/20,107.43
  6. Step 6: Final answer
    x = 15,393.78

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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.