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Finding the Fourth Proportional to 21,994.26, 32,991.40 and 9,682.26

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Solution

The fourth proportional to 21,994.26, 32,991.40 and 9,682.26 is: 14,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.26 : 32,991.40 = 9,682.26 : x
  2. Step 2: Convert to fraction form
    21,994.26/32,991.40 = 9,682.26/x
  3. Step 3: Cross multiply
    21,994.26x = 32,991.40 × 9,682.26
  4. Step 4: Simplify right side
    21,994.26x = 319,431,312.56
  5. Step 5: Solve for x
    x = 319,431,312.56/21,994.26
  6. Step 6: Final answer
    x = 14,523.39

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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.