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Finding the Fourth Proportional to 20,138.57, 27,781.58 and 14,173.55

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Solution

The fourth proportional to 20,138.57, 27,781.58 and 14,173.55 is: 19,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.57 : 27,781.58 = 14,173.55 : x
  2. Step 2: Convert to fraction form
    20,138.57/27,781.58 = 14,173.55/x
  3. Step 3: Cross multiply
    20,138.57x = 27,781.58 × 14,173.55
  4. Step 4: Simplify right side
    20,138.57x = 393,763,509.73
  5. Step 5: Solve for x
    x = 393,763,509.73/20,138.57
  6. Step 6: Final answer
    x = 19,552.71

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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.