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Finding the Fourth Proportional to 12,599.30, 18,893.49 and 3,832.19

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Solution

The fourth proportional to 12,599.30, 18,893.49 and 3,832.19 is: 5,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.30 : 18,893.49 = 3,832.19 : x
  2. Step 2: Convert to fraction form
    12,599.30/18,893.49 = 3,832.19/x
  3. Step 3: Cross multiply
    12,599.30x = 18,893.49 × 3,832.19
  4. Step 4: Simplify right side
    12,599.30x = 72,403,505.05
  5. Step 5: Solve for x
    x = 72,403,505.05/12,599.30
  6. Step 6: Final answer
    x = 5,746.63

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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.