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Finding the Fourth Proportional to 12,234.14, 18,338.36 and 5,985.52

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Solution

The fourth proportional to 12,234.14, 18,338.36 and 5,985.52 is: 8,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.14 : 18,338.36 = 5,985.52 : x
  2. Step 2: Convert to fraction form
    12,234.14/18,338.36 = 5,985.52/x
  3. Step 3: Cross multiply
    12,234.14x = 18,338.36 × 5,985.52
  4. Step 4: Simplify right side
    12,234.14x = 109,764,620.55
  5. Step 5: Solve for x
    x = 109,764,620.55/12,234.14
  6. Step 6: Final answer
    x = 8,971.99

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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.