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Finding the Fourth Proportional to 26,475.69, 39,717.25 and 7,757.06

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Solution

The fourth proportional to 26,475.69, 39,717.25 and 7,757.06 is: 11,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475.69 : 39,717.25 = 7,757.06 : x
  2. Step 2: Convert to fraction form
    26,475.69/39,717.25 = 7,757.06/x
  3. Step 3: Cross multiply
    26,475.69x = 39,717.25 × 7,757.06
  4. Step 4: Simplify right side
    26,475.69x = 308,089,052.50
  5. Step 5: Solve for x
    x = 308,089,052.50/26,475.69
  6. Step 6: Final answer
    x = 11,636.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.