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Finding the Fourth Proportional to 14,354.12, 21,532.41 and 3,965.87

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Solution

The fourth proportional to 14,354.12, 21,532.41 and 3,965.87 is: 5,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.12 : 21,532.41 = 3,965.87 : x
  2. Step 2: Convert to fraction form
    14,354.12/21,532.41 = 3,965.87/x
  3. Step 3: Cross multiply
    14,354.12x = 21,532.41 × 3,965.87
  4. Step 4: Simplify right side
    14,354.12x = 85,394,738.85
  5. Step 5: Solve for x
    x = 85,394,738.85/14,354.12
  6. Step 6: Final answer
    x = 5,949.14

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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.