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Finding the Fourth Proportional to 13,824.75, 20,737.41 and 3,436.50

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Solution

The fourth proportional to 13,824.75, 20,737.41 and 3,436.50 is: 5,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.75 : 20,737.41 = 3,436.50 : x
  2. Step 2: Convert to fraction form
    13,824.75/20,737.41 = 3,436.50/x
  3. Step 3: Cross multiply
    13,824.75x = 20,737.41 × 3,436.50
  4. Step 4: Simplify right side
    13,824.75x = 71,264,109.47
  5. Step 5: Solve for x
    x = 71,264,109.47/13,824.75
  6. Step 6: Final answer
    x = 5,154.82

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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.