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Finding the Fourth Proportional to 21,181.86, 31,744.50 and 11,166.18

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Solution

The fourth proportional to 21,181.86, 31,744.50 and 11,166.18 is: 16,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.86 : 31,744.50 = 11,166.18 : x
  2. Step 2: Convert to fraction form
    21,181.86/31,744.50 = 11,166.18/x
  3. Step 3: Cross multiply
    21,181.86x = 31,744.50 × 11,166.18
  4. Step 4: Simplify right side
    21,181.86x = 354,464,801.01
  5. Step 5: Solve for x
    x = 354,464,801.01/21,181.86
  6. Step 6: Final answer
    x = 16,734.36

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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.