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Finding the Fourth Proportional to 12,120.64, 18,146.40 and 8,219.20

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Solution

The fourth proportional to 12,120.64, 18,146.40 and 8,219.20 is: 12,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.64 : 18,146.40 = 8,219.20 : x
  2. Step 2: Convert to fraction form
    12,120.64/18,146.40 = 8,219.20/x
  3. Step 3: Cross multiply
    12,120.64x = 18,146.40 × 8,219.20
  4. Step 4: Simplify right side
    12,120.64x = 149,148,890.88
  5. Step 5: Solve for x
    x = 149,148,890.88/12,120.64
  6. Step 6: Final answer
    x = 12,305.36

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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.