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Finding the Fourth Proportional to 23,027.55, 31,777.98 and 12,956

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Solution

The fourth proportional to 23,027.55, 31,777.98 and 12,956 is: 17,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.55 : 31,777.98 = 12,956 : x
  2. Step 2: Convert to fraction form
    23,027.55/31,777.98 = 12,956/x
  3. Step 3: Cross multiply
    23,027.55x = 31,777.98 × 12,956
  4. Step 4: Simplify right side
    23,027.55x = 411,715,508.88
  5. Step 5: Solve for x
    x = 411,715,508.88/23,027.55
  6. Step 6: Final answer
    x = 17,879.26

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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.