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Finding the Fourth Proportional to 26,924.90, 40,393.16 and 8,204.45

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Solution

The fourth proportional to 26,924.90, 40,393.16 and 8,204.45 is: 12,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924.90 : 40,393.16 = 8,204.45 : x
  2. Step 2: Convert to fraction form
    26,924.90/40,393.16 = 8,204.45/x
  3. Step 3: Cross multiply
    26,924.90x = 40,393.16 × 8,204.45
  4. Step 4: Simplify right side
    26,924.90x = 331,403,661.56
  5. Step 5: Solve for x
    x = 331,403,661.56/26,924.90
  6. Step 6: Final answer
    x = 12,308.45

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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.