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Finding the Fourth Proportional to 12,205.89, 18,310.96 and 5,970.21

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Solution

The fourth proportional to 12,205.89, 18,310.96 and 5,970.21 is: 8,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.89 : 18,310.96 = 5,970.21 : x
  2. Step 2: Convert to fraction form
    12,205.89/18,310.96 = 5,970.21/x
  3. Step 3: Cross multiply
    12,205.89x = 18,310.96 × 5,970.21
  4. Step 4: Simplify right side
    12,205.89x = 109,320,215.30
  5. Step 5: Solve for x
    x = 109,320,215.30/12,205.89
  6. Step 6: Final answer
    x = 8,956.35

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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.