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Finding the Fourth Proportional to 13,843.04, 20,772.05 and 6,445.71

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Solution

The fourth proportional to 13,843.04, 20,772.05 and 6,445.71 is: 9,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.04 : 20,772.05 = 6,445.71 : x
  2. Step 2: Convert to fraction form
    13,843.04/20,772.05 = 6,445.71/x
  3. Step 3: Cross multiply
    13,843.04x = 20,772.05 × 6,445.71
  4. Step 4: Simplify right side
    13,843.04x = 133,890,578.18
  5. Step 5: Solve for x
    x = 133,890,578.18/13,843.04
  6. Step 6: Final answer
    x = 9,672.05

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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.