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Finding the Fourth Proportional to 26,864.52, 40,296.78 and 8,144.40

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Solution

The fourth proportional to 26,864.52, 40,296.78 and 8,144.40 is: 12,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864.52 : 40,296.78 = 8,144.40 : x
  2. Step 2: Convert to fraction form
    26,864.52/40,296.78 = 8,144.40/x
  3. Step 3: Cross multiply
    26,864.52x = 40,296.78 × 8,144.40
  4. Step 4: Simplify right side
    26,864.52x = 328,193,095.03
  5. Step 5: Solve for x
    x = 328,193,095.03/26,864.52
  6. Step 6: Final answer
    x = 12,216.60

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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.