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Finding the Fourth Proportional to 12,154.91, 18,221.40 and 4,361.90

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Solution

The fourth proportional to 12,154.91, 18,221.40 and 4,361.90 is: 6,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.91 : 18,221.40 = 4,361.90 : x
  2. Step 2: Convert to fraction form
    12,154.91/18,221.40 = 4,361.90/x
  3. Step 3: Cross multiply
    12,154.91x = 18,221.40 × 4,361.90
  4. Step 4: Simplify right side
    12,154.91x = 79,479,833.55
  5. Step 5: Solve for x
    x = 79,479,833.55/12,154.91
  6. Step 6: Final answer
    x = 6,538.91

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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.