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Finding the Fourth Proportional to 17,567.85, 26,351.83 and 6,469.74

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Solution

The fourth proportional to 17,567.85, 26,351.83 and 6,469.74 is: 9,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.85 : 26,351.83 = 6,469.74 : x
  2. Step 2: Convert to fraction form
    17,567.85/26,351.83 = 6,469.74/x
  3. Step 3: Cross multiply
    17,567.85x = 26,351.83 × 6,469.74
  4. Step 4: Simplify right side
    17,567.85x = 170,489,496.71
  5. Step 5: Solve for x
    x = 170,489,496.71/17,567.85
  6. Step 6: Final answer
    x = 9,704.63

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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.