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Finding the Fourth Proportional to 26,294.10, 39,431.41 and 7,567.81

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Solution

The fourth proportional to 26,294.10, 39,431.41 and 7,567.81 is: 11,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294.10 : 39,431.41 = 7,567.81 : x
  2. Step 2: Convert to fraction form
    26,294.10/39,431.41 = 7,567.81/x
  3. Step 3: Cross multiply
    26,294.10x = 39,431.41 × 7,567.81
  4. Step 4: Simplify right side
    26,294.10x = 298,409,418.91
  5. Step 5: Solve for x
    x = 298,409,418.91/26,294.10
  6. Step 6: Final answer
    x = 11,348.91

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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.