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Finding the Fourth Proportional to 41,705.44, 62,519.28 and 13,984

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Solution

The fourth proportional to 41,705.44, 62,519.28 and 13,984 is: 20,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705.44 : 62,519.28 = 13,984 : x
  2. Step 2: Convert to fraction form
    41,705.44/62,519.28 = 13,984/x
  3. Step 3: Cross multiply
    41,705.44x = 62,519.28 × 13,984
  4. Step 4: Simplify right side
    41,705.44x = 874,269,611.52
  5. Step 5: Solve for x
    x = 874,269,611.52/41,705.44
  6. Step 6: Final answer
    x = 20,962.96

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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.