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Finding the Fourth Proportional to 26,451.78, 39,676.59 and 10,869

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Solution

The fourth proportional to 26,451.78, 39,676.59 and 10,869 is: 16,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,451.78 : 39,676.59 = 10,869 : x
  2. Step 2: Convert to fraction form
    26,451.78/39,676.59 = 10,869/x
  3. Step 3: Cross multiply
    26,451.78x = 39,676.59 × 10,869
  4. Step 4: Simplify right side
    26,451.78x = 431,244,856.71
  5. Step 5: Solve for x
    x = 431,244,856.71/26,451.78
  6. Step 6: Final answer
    x = 16,303.06

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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.