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Finding the Fourth Proportional to 12,197.76, 18,297.51 and 5,962.96

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Solution

The fourth proportional to 12,197.76, 18,297.51 and 5,962.96 is: 8,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.76 : 18,297.51 = 5,962.96 : x
  2. Step 2: Convert to fraction form
    12,197.76/18,297.51 = 5,962.96/x
  3. Step 3: Cross multiply
    12,197.76x = 18,297.51 × 5,962.96
  4. Step 4: Simplify right side
    12,197.76x = 109,107,320.23
  5. Step 5: Solve for x
    x = 109,107,320.23/12,197.76
  6. Step 6: Final answer
    x = 8,944.87

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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.