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Finding the Fourth Proportional to 12,231.94, 18,347.34 and 5,208.55

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Solution

The fourth proportional to 12,231.94, 18,347.34 and 5,208.55 is: 7,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.94 : 18,347.34 = 5,208.55 : x
  2. Step 2: Convert to fraction form
    12,231.94/18,347.34 = 5,208.55/x
  3. Step 3: Cross multiply
    12,231.94x = 18,347.34 × 5,208.55
  4. Step 4: Simplify right side
    12,231.94x = 95,563,070.68
  5. Step 5: Solve for x
    x = 95,563,070.68/12,231.94
  6. Step 6: Final answer
    x = 7,812.59

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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.