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Finding the Fourth Proportional to 21,994.10, 32,991.17 and 5,354.14

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Solution

The fourth proportional to 21,994.10, 32,991.17 and 5,354.14 is: 8,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.10 : 32,991.17 = 5,354.14 : x
  2. Step 2: Convert to fraction form
    21,994.10/32,991.17 = 5,354.14/x
  3. Step 3: Cross multiply
    21,994.10x = 32,991.17 × 5,354.14
  4. Step 4: Simplify right side
    21,994.10x = 176,639,233.70
  5. Step 5: Solve for x
    x = 176,639,233.70/21,994.10
  6. Step 6: Final answer
    x = 8,031.21

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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.