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Finding the Fourth Proportional to 13,941.57, 20,919.53 and 9,264.80

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Solution

The fourth proportional to 13,941.57, 20,919.53 and 9,264.80 is: 13,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.57 : 20,919.53 = 9,264.80 : x
  2. Step 2: Convert to fraction form
    13,941.57/20,919.53 = 9,264.80/x
  3. Step 3: Cross multiply
    13,941.57x = 20,919.53 × 9,264.80
  4. Step 4: Simplify right side
    13,941.57x = 193,815,110.62
  5. Step 5: Solve for x
    x = 193,815,110.62/13,941.57
  6. Step 6: Final answer
    x = 13,901.96

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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.