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Finding the Fourth Proportional to 12,771.97, 19,138.41 and 5,372.38

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Solution

The fourth proportional to 12,771.97, 19,138.41 and 5,372.38 is: 8,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.97 : 19,138.41 = 5,372.38 : x
  2. Step 2: Convert to fraction form
    12,771.97/19,138.41 = 5,372.38/x
  3. Step 3: Cross multiply
    12,771.97x = 19,138.41 × 5,372.38
  4. Step 4: Simplify right side
    12,771.97x = 102,818,811.12
  5. Step 5: Solve for x
    x = 102,818,811.12/12,771.97
  6. Step 6: Final answer
    x = 8,050.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.