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Finding the Fourth Proportional to 21,649.21, 32,477.22 and 9,169.27

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Solution

The fourth proportional to 21,649.21, 32,477.22 and 9,169.27 is: 13,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.21 : 32,477.22 = 9,169.27 : x
  2. Step 2: Convert to fraction form
    21,649.21/32,477.22 = 9,169.27/x
  3. Step 3: Cross multiply
    21,649.21x = 32,477.22 × 9,169.27
  4. Step 4: Simplify right side
    21,649.21x = 297,792,317.84
  5. Step 5: Solve for x
    x = 297,792,317.84/21,649.21
  6. Step 6: Final answer
    x = 13,755.34

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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.