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Finding the Fourth Proportional to 12,380.66, 18,577.36 and 8,223.54

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Solution

The fourth proportional to 12,380.66, 18,577.36 and 8,223.54 is: 12,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.66 : 18,577.36 = 8,223.54 : x
  2. Step 2: Convert to fraction form
    12,380.66/18,577.36 = 8,223.54/x
  3. Step 3: Cross multiply
    12,380.66x = 18,577.36 × 8,223.54
  4. Step 4: Simplify right side
    12,380.66x = 152,771,663.05
  5. Step 5: Solve for x
    x = 152,771,663.05/12,380.66
  6. Step 6: Final answer
    x = 12,339.54

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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.