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Finding the Fourth Proportional to 23,792.23, 35,692.35 and 8,206.21

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Solution

The fourth proportional to 23,792.23, 35,692.35 and 8,206.21 is: 12,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.23 : 35,692.35 = 8,206.21 : x
  2. Step 2: Convert to fraction form
    23,792.23/35,692.35 = 8,206.21/x
  3. Step 3: Cross multiply
    23,792.23x = 35,692.35 × 8,206.21
  4. Step 4: Simplify right side
    23,792.23x = 292,898,919.49
  5. Step 5: Solve for x
    x = 292,898,919.49/23,792.23
  6. Step 6: Final answer
    x = 12,310.70

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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.