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Finding the Fourth Proportional to 13,861.40, 20,800.33 and 5,102.46

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Solution

The fourth proportional to 13,861.40, 20,800.33 and 5,102.46 is: 7,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.40 : 20,800.33 = 5,102.46 : x
  2. Step 2: Convert to fraction form
    13,861.40/20,800.33 = 5,102.46/x
  3. Step 3: Cross multiply
    13,861.40x = 20,800.33 × 5,102.46
  4. Step 4: Simplify right side
    13,861.40x = 106,132,839.06
  5. Step 5: Solve for x
    x = 106,132,839.06/13,861.40
  6. Step 6: Final answer
    x = 7,656.72

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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.