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Finding the Fourth Proportional to 12,151.65, 18,213.93 and 5,129.56

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Solution

The fourth proportional to 12,151.65, 18,213.93 and 5,129.56 is: 7,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.65 : 18,213.93 = 5,129.56 : x
  2. Step 2: Convert to fraction form
    12,151.65/18,213.93 = 5,129.56/x
  3. Step 3: Cross multiply
    12,151.65x = 18,213.93 × 5,129.56
  4. Step 4: Simplify right side
    12,151.65x = 93,429,469.54
  5. Step 5: Solve for x
    x = 93,429,469.54/12,151.65
  6. Step 6: Final answer
    x = 7,688.62

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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.