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Finding the Fourth Proportional to 13,841.25, 20,761.65 and 6,441.57

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Solution

The fourth proportional to 13,841.25, 20,761.65 and 6,441.57 is: 9,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.25 : 20,761.65 = 6,441.57 : x
  2. Step 2: Convert to fraction form
    13,841.25/20,761.65 = 6,441.57/x
  3. Step 3: Cross multiply
    13,841.25x = 20,761.65 × 6,441.57
  4. Step 4: Simplify right side
    13,841.25x = 133,737,621.79
  5. Step 5: Solve for x
    x = 133,737,621.79/13,841.25
  6. Step 6: Final answer
    x = 9,662.25

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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.