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Finding the Fourth Proportional to 12,329.34, 18,489.15 and 7,138.86

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Solution

The fourth proportional to 12,329.34, 18,489.15 and 7,138.86 is: 10,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.34 : 18,489.15 = 7,138.86 : x
  2. Step 2: Convert to fraction form
    12,329.34/18,489.15 = 7,138.86/x
  3. Step 3: Cross multiply
    12,329.34x = 18,489.15 × 7,138.86
  4. Step 4: Simplify right side
    12,329.34x = 131,991,453.37
  5. Step 5: Solve for x
    x = 131,991,453.37/12,329.34
  6. Step 6: Final answer
    x = 10,705.48

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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.