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Finding the Fourth Proportional to 26,422.72, 39,639.26 and 9,782.90

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Solution

The fourth proportional to 26,422.72, 39,639.26 and 9,782.90 is: 14,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.72 : 39,639.26 = 9,782.90 : x
  2. Step 2: Convert to fraction form
    26,422.72/39,639.26 = 9,782.90/x
  3. Step 3: Cross multiply
    26,422.72x = 39,639.26 × 9,782.90
  4. Step 4: Simplify right side
    26,422.72x = 387,786,916.65
  5. Step 5: Solve for x
    x = 387,786,916.65/26,422.72
  6. Step 6: Final answer
    x = 14,676.27

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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.