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Finding the Fourth Proportional to 17,649.46, 26,477.43 and 6,563.80

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Solution

The fourth proportional to 17,649.46, 26,477.43 and 6,563.80 is: 9,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.46 : 26,477.43 = 6,563.80 : x
  2. Step 2: Convert to fraction form
    17,649.46/26,477.43 = 6,563.80/x
  3. Step 3: Cross multiply
    17,649.46x = 26,477.43 × 6,563.80
  4. Step 4: Simplify right side
    17,649.46x = 173,792,555.03
  5. Step 5: Solve for x
    x = 173,792,555.03/17,649.46
  6. Step 6: Final answer
    x = 9,846.90

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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.