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Finding the Fourth Proportional to 12,771.64, 19,150.81 and 5,745.56

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Solution

The fourth proportional to 12,771.64, 19,150.81 and 5,745.56 is: 8,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.64 : 19,150.81 = 5,745.56 : x
  2. Step 2: Convert to fraction form
    12,771.64/19,150.81 = 5,745.56/x
  3. Step 3: Cross multiply
    12,771.64x = 19,150.81 × 5,745.56
  4. Step 4: Simplify right side
    12,771.64x = 110,032,127.90
  5. Step 5: Solve for x
    x = 110,032,127.90/12,771.64
  6. Step 6: Final answer
    x = 8,615.35

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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.