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Finding the Fourth Proportional to 26,431.10, 39,642.78 and 7,706.10

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Solution

The fourth proportional to 26,431.10, 39,642.78 and 7,706.10 is: 11,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.10 : 39,642.78 = 7,706.10 : x
  2. Step 2: Convert to fraction form
    26,431.10/39,642.78 = 7,706.10/x
  3. Step 3: Cross multiply
    26,431.10x = 39,642.78 × 7,706.10
  4. Step 4: Simplify right side
    26,431.10x = 305,491,226.96
  5. Step 5: Solve for x
    x = 305,491,226.96/26,431.10
  6. Step 6: Final answer
    x = 11,558.02

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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.