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Finding the Fourth Proportional to 21,161.34, 31,744.98 and 8,683.20

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Solution

The fourth proportional to 21,161.34, 31,744.98 and 8,683.20 is: 13,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.34 : 31,744.98 = 8,683.20 : x
  2. Step 2: Convert to fraction form
    21,161.34/31,744.98 = 8,683.20/x
  3. Step 3: Cross multiply
    21,161.34x = 31,744.98 × 8,683.20
  4. Step 4: Simplify right side
    21,161.34x = 275,648,010.34
  5. Step 5: Solve for x
    x = 275,648,010.34/21,161.34
  6. Step 6: Final answer
    x = 13,026.02

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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.