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Finding the Fourth Proportional to 26,432.78, 39,647.22 and 9,785.06

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Solution

The fourth proportional to 26,432.78, 39,647.22 and 9,785.06 is: 14,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432.78 : 39,647.22 = 9,785.06 : x
  2. Step 2: Convert to fraction form
    26,432.78/39,647.22 = 9,785.06/x
  3. Step 3: Cross multiply
    26,432.78x = 39,647.22 × 9,785.06
  4. Step 4: Simplify right side
    26,432.78x = 387,950,426.53
  5. Step 5: Solve for x
    x = 387,950,426.53/26,432.78
  6. Step 6: Final answer
    x = 14,676.87

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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.