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Finding the Fourth Proportional to 12,311.52, 18,453.60 and 9,380.16

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Solution

The fourth proportional to 12,311.52, 18,453.60 and 9,380.16 is: 14,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.52 : 18,453.60 = 9,380.16 : x
  2. Step 2: Convert to fraction form
    12,311.52/18,453.60 = 9,380.16/x
  3. Step 3: Cross multiply
    12,311.52x = 18,453.60 × 9,380.16
  4. Step 4: Simplify right side
    12,311.52x = 173,097,720.58
  5. Step 5: Solve for x
    x = 173,097,720.58/12,311.52
  6. Step 6: Final answer
    x = 14,059.82

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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.