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Finding the Fourth Proportional to 16,749.44, 23,114.26 and 9,297.44

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Solution

The fourth proportional to 16,749.44, 23,114.26 and 9,297.44 is: 12,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749.44 : 23,114.26 = 9,297.44 : x
  2. Step 2: Convert to fraction form
    16,749.44/23,114.26 = 9,297.44/x
  3. Step 3: Cross multiply
    16,749.44x = 23,114.26 × 9,297.44
  4. Step 4: Simplify right side
    16,749.44x = 214,903,445.49
  5. Step 5: Solve for x
    x = 214,903,445.49/16,749.44
  6. Step 6: Final answer
    x = 12,830.49

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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.