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Finding the Fourth Proportional to 13,689.83, 18,874.85 and 11,424.44

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Solution

The fourth proportional to 13,689.83, 18,874.85 and 11,424.44 is: 15,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.83 : 18,874.85 = 11,424.44 : x
  2. Step 2: Convert to fraction form
    13,689.83/18,874.85 = 11,424.44/x
  3. Step 3: Cross multiply
    13,689.83x = 18,874.85 × 11,424.44
  4. Step 4: Simplify right side
    13,689.83x = 215,634,591.33
  5. Step 5: Solve for x
    x = 215,634,591.33/13,689.83
  6. Step 6: Final answer
    x = 15,751.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.