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Finding the Fourth Proportional to 14,633.84, 20,194.20 and 8,348.24

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Solution

The fourth proportional to 14,633.84, 20,194.20 and 8,348.24 is: 11,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.84 : 20,194.20 = 8,348.24 : x
  2. Step 2: Convert to fraction form
    14,633.84/20,194.20 = 8,348.24/x
  3. Step 3: Cross multiply
    14,633.84x = 20,194.20 × 8,348.24
  4. Step 4: Simplify right side
    14,633.84x = 168,586,028.21
  5. Step 5: Solve for x
    x = 168,586,028.21/14,633.84
  6. Step 6: Final answer
    x = 11,520.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.