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Finding the Fourth Proportional to 12,105.64, 18,124.38 and 9,644.20

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Solution

The fourth proportional to 12,105.64, 18,124.38 and 9,644.20 is: 14,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.64 : 18,124.38 = 9,644.20 : x
  2. Step 2: Convert to fraction form
    12,105.64/18,124.38 = 9,644.20/x
  3. Step 3: Cross multiply
    12,105.64x = 18,124.38 × 9,644.20
  4. Step 4: Simplify right side
    12,105.64x = 174,795,145.60
  5. Step 5: Solve for x
    x = 174,795,145.60/12,105.64
  6. Step 6: Final answer
    x = 14,439.15

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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.