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Finding the Fourth Proportional to 21,172.96, 29,217.98 and 11,742.22

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Solution

The fourth proportional to 21,172.96, 29,217.98 and 11,742.22 is: 16,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.96 : 29,217.98 = 11,742.22 : x
  2. Step 2: Convert to fraction form
    21,172.96/29,217.98 = 11,742.22/x
  3. Step 3: Cross multiply
    21,172.96x = 29,217.98 × 11,742.22
  4. Step 4: Simplify right side
    21,172.96x = 343,083,949.12
  5. Step 5: Solve for x
    x = 343,083,949.12/21,172.96
  6. Step 6: Final answer
    x = 16,203.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.