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Finding the Fourth Proportional to 13,781.75, 20,665.80 and 5,883.03

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Solution

The fourth proportional to 13,781.75, 20,665.80 and 5,883.03 is: 8,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.75 : 20,665.80 = 5,883.03 : x
  2. Step 2: Convert to fraction form
    13,781.75/20,665.80 = 5,883.03/x
  3. Step 3: Cross multiply
    13,781.75x = 20,665.80 × 5,883.03
  4. Step 4: Simplify right side
    13,781.75x = 121,577,521.37
  5. Step 5: Solve for x
    x = 121,577,521.37/13,781.75
  6. Step 6: Final answer
    x = 8,821.63

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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.