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Finding the Fourth Proportional to 41,856.64, 62,769.50 and 13,768.50

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Solution

The fourth proportional to 41,856.64, 62,769.50 and 13,768.50 is: 20,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.64 : 62,769.50 = 13,768.50 : x
  2. Step 2: Convert to fraction form
    41,856.64/62,769.50 = 13,768.50/x
  3. Step 3: Cross multiply
    41,856.64x = 62,769.50 × 13,768.50
  4. Step 4: Simplify right side
    41,856.64x = 864,241,860.75
  5. Step 5: Solve for x
    x = 864,241,860.75/41,856.64
  6. Step 6: Final answer
    x = 20,647.66

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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.