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Finding the Fourth Proportional to 13,856.94, 20,780.55 and 3,993.57

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Solution

The fourth proportional to 13,856.94, 20,780.55 and 3,993.57 is: 5,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.94 : 20,780.55 = 3,993.57 : x
  2. Step 2: Convert to fraction form
    13,856.94/20,780.55 = 3,993.57/x
  3. Step 3: Cross multiply
    13,856.94x = 20,780.55 × 3,993.57
  4. Step 4: Simplify right side
    13,856.94x = 82,988,581.06
  5. Step 5: Solve for x
    x = 82,988,581.06/13,856.94
  6. Step 6: Final answer
    x = 5,988.95

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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.