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Finding the Fourth Proportional to 26,288.86, 39,438.96 and 7,568.77

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Solution

The fourth proportional to 26,288.86, 39,438.96 and 7,568.77 is: 11,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,288.86 : 39,438.96 = 7,568.77 : x
  2. Step 2: Convert to fraction form
    26,288.86/39,438.96 = 7,568.77/x
  3. Step 3: Cross multiply
    26,288.86x = 39,438.96 × 7,568.77
  4. Step 4: Simplify right side
    26,288.86x = 298,504,417.28
  5. Step 5: Solve for x
    x = 298,504,417.28/26,288.86
  6. Step 6: Final answer
    x = 11,354.79

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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.