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Finding the Fourth Proportional to 12,394.26, 18,595.71 and 5,821.38

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Solution

The fourth proportional to 12,394.26, 18,595.71 and 5,821.38 is: 8,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.26 : 18,595.71 = 5,821.38 : x
  2. Step 2: Convert to fraction form
    12,394.26/18,595.71 = 5,821.38/x
  3. Step 3: Cross multiply
    12,394.26x = 18,595.71 × 5,821.38
  4. Step 4: Simplify right side
    12,394.26x = 108,252,694.28
  5. Step 5: Solve for x
    x = 108,252,694.28/12,394.26
  6. Step 6: Final answer
    x = 8,734.10

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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.