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Finding the Fourth Proportional to 12,527.86, 18,791.71 and 3,167.87

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Solution

The fourth proportional to 12,527.86, 18,791.71 and 3,167.87 is: 4,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.86 : 18,791.71 = 3,167.87 : x
  2. Step 2: Convert to fraction form
    12,527.86/18,791.71 = 3,167.87/x
  3. Step 3: Cross multiply
    12,527.86x = 18,791.71 × 3,167.87
  4. Step 4: Simplify right side
    12,527.86x = 59,529,694.36
  5. Step 5: Solve for x
    x = 59,529,694.36/12,527.86
  6. Step 6: Final answer
    x = 4,751.78

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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.