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Finding the Fourth Proportional to 26,585.21, 39,883.65 and 7,863.78

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Solution

The fourth proportional to 26,585.21, 39,883.65 and 7,863.78 is: 11,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.21 : 39,883.65 = 7,863.78 : x
  2. Step 2: Convert to fraction form
    26,585.21/39,883.65 = 7,863.78/x
  3. Step 3: Cross multiply
    26,585.21x = 39,883.65 × 7,863.78
  4. Step 4: Simplify right side
    26,585.21x = 313,636,249.20
  5. Step 5: Solve for x
    x = 313,636,249.20/26,585.21
  6. Step 6: Final answer
    x = 11,797.40

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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.