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Finding the Fourth Proportional to 26,899.50, 40,355.73 and 8,431.50

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Solution

The fourth proportional to 26,899.50, 40,355.73 and 8,431.50 is: 12,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899.50 : 40,355.73 = 8,431.50 : x
  2. Step 2: Convert to fraction form
    26,899.50/40,355.73 = 8,431.50/x
  3. Step 3: Cross multiply
    26,899.50x = 40,355.73 × 8,431.50
  4. Step 4: Simplify right side
    26,899.50x = 340,259,337.50
  5. Step 5: Solve for x
    x = 340,259,337.50/26,899.50
  6. Step 6: Final answer
    x = 12,649.28

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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.