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Finding the Fourth Proportional to 13,789.50, 20,690.66 and 5,894.43

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Solution

The fourth proportional to 13,789.50, 20,690.66 and 5,894.43 is: 8,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.50 : 20,690.66 = 5,894.43 : x
  2. Step 2: Convert to fraction form
    13,789.50/20,690.66 = 5,894.43/x
  3. Step 3: Cross multiply
    13,789.50x = 20,690.66 × 5,894.43
  4. Step 4: Simplify right side
    13,789.50x = 121,959,647.02
  5. Step 5: Solve for x
    x = 121,959,647.02/13,789.50
  6. Step 6: Final answer
    x = 8,844.39

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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.