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Finding the Fourth Proportional to 13,641.98, 20,463.40 and 3,781.34

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Solution

The fourth proportional to 13,641.98, 20,463.40 and 3,781.34 is: 5,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.98 : 20,463.40 = 3,781.34 : x
  2. Step 2: Convert to fraction form
    13,641.98/20,463.40 = 3,781.34/x
  3. Step 3: Cross multiply
    13,641.98x = 20,463.40 × 3,781.34
  4. Step 4: Simplify right side
    13,641.98x = 77,379,072.96
  5. Step 5: Solve for x
    x = 77,379,072.96/13,641.98
  6. Step 6: Final answer
    x = 5,672.13

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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.