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Finding the Fourth Proportional to 26,505.08, 39,751.46 and 7,780.09

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Solution

The fourth proportional to 26,505.08, 39,751.46 and 7,780.09 is: 11,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.08 : 39,751.46 = 7,780.09 : x
  2. Step 2: Convert to fraction form
    26,505.08/39,751.46 = 7,780.09/x
  3. Step 3: Cross multiply
    26,505.08x = 39,751.46 × 7,780.09
  4. Step 4: Simplify right side
    26,505.08x = 309,269,737.67
  5. Step 5: Solve for x
    x = 309,269,737.67/26,505.08
  6. Step 6: Final answer
    x = 11,668.32

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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.