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Finding the Fourth Proportional to 13,657.87, 20,491.89 and 5,762.44

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Solution

The fourth proportional to 13,657.87, 20,491.89 and 5,762.44 is: 8,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.87 : 20,491.89 = 5,762.44 : x
  2. Step 2: Convert to fraction form
    13,657.87/20,491.89 = 5,762.44/x
  3. Step 3: Cross multiply
    13,657.87x = 20,491.89 × 5,762.44
  4. Step 4: Simplify right side
    13,657.87x = 118,083,286.61
  5. Step 5: Solve for x
    x = 118,083,286.61/13,657.87
  6. Step 6: Final answer
    x = 8,645.81

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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.