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Finding the Fourth Proportional to 26,477.91, 39,722.33 and 7,758.56

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Solution

The fourth proportional to 26,477.91, 39,722.33 and 7,758.56 is: 11,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,477.91 : 39,722.33 = 7,758.56 : x
  2. Step 2: Convert to fraction form
    26,477.91/39,722.33 = 7,758.56/x
  3. Step 3: Cross multiply
    26,477.91x = 39,722.33 × 7,758.56
  4. Step 4: Simplify right side
    26,477.91x = 308,187,901.43
  5. Step 5: Solve for x
    x = 308,187,901.43/26,477.91
  6. Step 6: Final answer
    x = 11,639.43

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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.