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Finding the Fourth Proportional to 27,711.69, 41,567.51 and 8,991.71

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Solution

The fourth proportional to 27,711.69, 41,567.51 and 8,991.71 is: 13,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.69 : 41,567.51 = 8,991.71 : x
  2. Step 2: Convert to fraction form
    27,711.69/41,567.51 = 8,991.71/x
  3. Step 3: Cross multiply
    27,711.69x = 41,567.51 × 8,991.71
  4. Step 4: Simplify right side
    27,711.69x = 373,763,121.74
  5. Step 5: Solve for x
    x = 373,763,121.74/27,711.69
  6. Step 6: Final answer
    x = 13,487.56

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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.