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Finding the Fourth Proportional to 14,524.70, 21,788.42 and 5,757.57

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Solution

The fourth proportional to 14,524.70, 21,788.42 and 5,757.57 is: 8,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.70 : 21,788.42 = 5,757.57 : x
  2. Step 2: Convert to fraction form
    14,524.70/21,788.42 = 5,757.57/x
  3. Step 3: Cross multiply
    14,524.70x = 21,788.42 × 5,757.57
  4. Step 4: Simplify right side
    14,524.70x = 125,448,324.55
  5. Step 5: Solve for x
    x = 125,448,324.55/14,524.70
  6. Step 6: Final answer
    x = 8,636.90

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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.