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Finding the Fourth Proportional to 13,800.16, 20,692.66 and 5,471.74

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Solution

The fourth proportional to 13,800.16, 20,692.66 and 5,471.74 is: 8,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.16 : 20,692.66 = 5,471.74 : x
  2. Step 2: Convert to fraction form
    13,800.16/20,692.66 = 5,471.74/x
  3. Step 3: Cross multiply
    13,800.16x = 20,692.66 × 5,471.74
  4. Step 4: Simplify right side
    13,800.16x = 113,224,855.43
  5. Step 5: Solve for x
    x = 113,224,855.43/13,800.16
  6. Step 6: Final answer
    x = 8,204.60

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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.