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Finding the Fourth Proportional to 13,794.90, 20,692.35 and 8,265.30

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Solution

The fourth proportional to 13,794.90, 20,692.35 and 8,265.30 is: 12,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.90 : 20,692.35 = 8,265.30 : x
  2. Step 2: Convert to fraction form
    13,794.90/20,692.35 = 8,265.30/x
  3. Step 3: Cross multiply
    13,794.90x = 20,692.35 × 8,265.30
  4. Step 4: Simplify right side
    13,794.90x = 171,028,480.46
  5. Step 5: Solve for x
    x = 171,028,480.46/13,794.90
  6. Step 6: Final answer
    x = 12,397.95

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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.