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Finding the Fourth Proportional to 26,027.78, 39,047.89 and 8,497.64

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Solution

The fourth proportional to 26,027.78, 39,047.89 and 8,497.64 is: 12,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,027.78 : 39,047.89 = 8,497.64 : x
  2. Step 2: Convert to fraction form
    26,027.78/39,047.89 = 8,497.64/x
  3. Step 3: Cross multiply
    26,027.78x = 39,047.89 × 8,497.64
  4. Step 4: Simplify right side
    26,027.78x = 331,814,911.98
  5. Step 5: Solve for x
    x = 331,814,911.98/26,027.78
  6. Step 6: Final answer
    x = 12,748.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.