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Finding the Fourth Proportional to 12,777, 19,149.27 and 5,749.49

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Solution

The fourth proportional to 12,777, 19,149.27 and 5,749.49 is: 8,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 19,149.27 = 5,749.49 : x
  2. Step 2: Convert to fraction form
    12,777/19,149.27 = 5,749.49/x
  3. Step 3: Cross multiply
    12,777x = 19,149.27 × 5,749.49
  4. Step 4: Simplify right side
    12,777x = 110,098,440.63
  5. Step 5: Solve for x
    x = 110,098,440.63/12,777
  6. Step 6: Final answer
    x = 8,616.92

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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.