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Finding the Fourth Proportional to 16,705.44, 23,056.48 and 9,991.80

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Solution

The fourth proportional to 16,705.44, 23,056.48 and 9,991.80 is: 13,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.44 : 23,056.48 = 9,991.80 : x
  2. Step 2: Convert to fraction form
    16,705.44/23,056.48 = 9,991.80/x
  3. Step 3: Cross multiply
    16,705.44x = 23,056.48 × 9,991.80
  4. Step 4: Simplify right side
    16,705.44x = 230,375,736.86
  5. Step 5: Solve for x
    x = 230,375,736.86/16,705.44
  6. Step 6: Final answer
    x = 13,790.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.