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Finding the Fourth Proportional to 13,854.75, 20,778.96 and 5,532.53

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Solution

The fourth proportional to 13,854.75, 20,778.96 and 5,532.53 is: 8,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.75 : 20,778.96 = 5,532.53 : x
  2. Step 2: Convert to fraction form
    13,854.75/20,778.96 = 5,532.53/x
  3. Step 3: Cross multiply
    13,854.75x = 20,778.96 × 5,532.53
  4. Step 4: Simplify right side
    13,854.75x = 114,960,292.26
  5. Step 5: Solve for x
    x = 114,960,292.26/13,854.75
  6. Step 6: Final answer
    x = 8,297.53

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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.