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Finding the Fourth Proportional to 26,505.85, 39,758.74 and 6,784.37

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Solution

The fourth proportional to 26,505.85, 39,758.74 and 6,784.37 is: 10,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.85 : 39,758.74 = 6,784.37 : x
  2. Step 2: Convert to fraction form
    26,505.85/39,758.74 = 6,784.37/x
  3. Step 3: Cross multiply
    26,505.85x = 39,758.74 × 6,784.37
  4. Step 4: Simplify right side
    26,505.85x = 269,738,048.94
  5. Step 5: Solve for x
    x = 269,738,048.94/26,505.85
  6. Step 6: Final answer
    x = 10,176.55

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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.