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Finding the Fourth Proportional to 23,027, 31,777.26 and 13,091

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Solution

The fourth proportional to 23,027, 31,777.26 and 13,091 is: 18,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027 : 31,777.26 = 13,091 : x
  2. Step 2: Convert to fraction form
    23,027/31,777.26 = 13,091/x
  3. Step 3: Cross multiply
    23,027x = 31,777.26 × 13,091
  4. Step 4: Simplify right side
    23,027x = 415,996,110.66
  5. Step 5: Solve for x
    x = 415,996,110.66/23,027
  6. Step 6: Final answer
    x = 18,065.58

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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.