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Finding the Fourth Proportional to 12,195.64, 18,294.12 and 3,876.32

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Solution

The fourth proportional to 12,195.64, 18,294.12 and 3,876.32 is: 5,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.64 : 18,294.12 = 3,876.32 : x
  2. Step 2: Convert to fraction form
    12,195.64/18,294.12 = 3,876.32/x
  3. Step 3: Cross multiply
    12,195.64x = 18,294.12 × 3,876.32
  4. Step 4: Simplify right side
    12,195.64x = 70,913,863.24
  5. Step 5: Solve for x
    x = 70,913,863.24/12,195.64
  6. Step 6: Final answer
    x = 5,814.69

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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.