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Finding the Fourth Proportional to 12,771.57, 19,159.71 and 5,751.75

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Solution

The fourth proportional to 12,771.57, 19,159.71 and 5,751.75 is: 8,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.57 : 19,159.71 = 5,751.75 : x
  2. Step 2: Convert to fraction form
    12,771.57/19,159.71 = 5,751.75/x
  3. Step 3: Cross multiply
    12,771.57x = 19,159.71 × 5,751.75
  4. Step 4: Simplify right side
    12,771.57x = 110,201,861.99
  5. Step 5: Solve for x
    x = 110,201,861.99/12,771.57
  6. Step 6: Final answer
    x = 8,628.69

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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.