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Finding the Fourth Proportional to 16,722.72, 23,077.44 and 9,649.44

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Solution

The fourth proportional to 16,722.72, 23,077.44 and 9,649.44 is: 13,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.72 : 23,077.44 = 9,649.44 : x
  2. Step 2: Convert to fraction form
    16,722.72/23,077.44 = 9,649.44/x
  3. Step 3: Cross multiply
    16,722.72x = 23,077.44 × 9,649.44
  4. Step 4: Simplify right side
    16,722.72x = 222,684,372.63
  5. Step 5: Solve for x
    x = 222,684,372.63/16,722.72
  6. Step 6: Final answer
    x = 13,316.28

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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.