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Finding the Fourth Proportional to 12,212.42, 18,321.06 and 5,192.38

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Solution

The fourth proportional to 12,212.42, 18,321.06 and 5,192.38 is: 7,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.42 : 18,321.06 = 5,192.38 : x
  2. Step 2: Convert to fraction form
    12,212.42/18,321.06 = 5,192.38/x
  3. Step 3: Cross multiply
    12,212.42x = 18,321.06 × 5,192.38
  4. Step 4: Simplify right side
    12,212.42x = 95,129,881.76
  5. Step 5: Solve for x
    x = 95,129,881.76/12,212.42
  6. Step 6: Final answer
    x = 7,789.60

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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.