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Finding the Fourth Proportional to 12,380.53, 18,577.19 and 8,223.42

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Solution

The fourth proportional to 12,380.53, 18,577.19 and 8,223.42 is: 12,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.53 : 18,577.19 = 8,223.42 : x
  2. Step 2: Convert to fraction form
    12,380.53/18,577.19 = 8,223.42/x
  3. Step 3: Cross multiply
    12,380.53x = 18,577.19 × 8,223.42
  4. Step 4: Simplify right side
    12,380.53x = 152,768,035.79
  5. Step 5: Solve for x
    x = 152,768,035.79/12,380.53
  6. Step 6: Final answer
    x = 12,339.38

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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.