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Finding the Fourth Proportional to 12,231.66, 18,349.87 and 5,211.56

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Solution

The fourth proportional to 12,231.66, 18,349.87 and 5,211.56 is: 7,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.66 : 18,349.87 = 5,211.56 : x
  2. Step 2: Convert to fraction form
    12,231.66/18,349.87 = 5,211.56/x
  3. Step 3: Cross multiply
    12,231.66x = 18,349.87 × 5,211.56
  4. Step 4: Simplify right side
    12,231.66x = 95,631,448.50
  5. Step 5: Solve for x
    x = 95,631,448.50/12,231.66
  6. Step 6: Final answer
    x = 7,818.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.