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Finding the Fourth Proportional to 12,571.14, 18,849.50 and 5,180.70

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Solution

The fourth proportional to 12,571.14, 18,849.50 and 5,180.70 is: 7,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.14 : 18,849.50 = 5,180.70 : x
  2. Step 2: Convert to fraction form
    12,571.14/18,849.50 = 5,180.70/x
  3. Step 3: Cross multiply
    12,571.14x = 18,849.50 × 5,180.70
  4. Step 4: Simplify right side
    12,571.14x = 97,653,604.65
  5. Step 5: Solve for x
    x = 97,653,604.65/12,571.14
  6. Step 6: Final answer
    x = 7,768.08

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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.