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Finding the Fourth Proportional to 21,107.22, 31,649.14 and 8,636

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Solution

The fourth proportional to 21,107.22, 31,649.14 and 8,636 is: 12,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.22 : 31,649.14 = 8,636 : x
  2. Step 2: Convert to fraction form
    21,107.22/31,649.14 = 8,636/x
  3. Step 3: Cross multiply
    21,107.22x = 31,649.14 × 8,636
  4. Step 4: Simplify right side
    21,107.22x = 273,321,973.04
  5. Step 5: Solve for x
    x = 273,321,973.04/21,107.22
  6. Step 6: Final answer
    x = 12,949.22

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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.