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Finding the Fourth Proportional to 13,690.96, 18,893.39 and 7,724.57

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Solution

The fourth proportional to 13,690.96, 18,893.39 and 7,724.57 is: 10,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.96 : 18,893.39 = 7,724.57 : x
  2. Step 2: Convert to fraction form
    13,690.96/18,893.39 = 7,724.57/x
  3. Step 3: Cross multiply
    13,690.96x = 18,893.39 × 7,724.57
  4. Step 4: Simplify right side
    13,690.96x = 145,943,180.50
  5. Step 5: Solve for x
    x = 145,943,180.50/13,690.96
  6. Step 6: Final answer
    x = 10,659.82

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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.