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Finding the Fourth Proportional to 13,798.83, 20,692.56 and 5,477.70

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Solution

The fourth proportional to 13,798.83, 20,692.56 and 5,477.70 is: 8,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.83 : 20,692.56 = 5,477.70 : x
  2. Step 2: Convert to fraction form
    13,798.83/20,692.56 = 5,477.70/x
  3. Step 3: Cross multiply
    13,798.83x = 20,692.56 × 5,477.70
  4. Step 4: Simplify right side
    13,798.83x = 113,347,635.91
  5. Step 5: Solve for x
    x = 113,347,635.91/13,798.83
  6. Step 6: Final answer
    x = 8,214.29

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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.