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Finding the Fourth Proportional to 22,982.28, 34,444.68 and 9,819.24

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Solution

The fourth proportional to 22,982.28, 34,444.68 and 9,819.24 is: 14,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.28 : 34,444.68 = 9,819.24 : x
  2. Step 2: Convert to fraction form
    22,982.28/34,444.68 = 9,819.24/x
  3. Step 3: Cross multiply
    22,982.28x = 34,444.68 × 9,819.24
  4. Step 4: Simplify right side
    22,982.28x = 338,220,579.64
  5. Step 5: Solve for x
    x = 338,220,579.64/22,982.28
  6. Step 6: Final answer
    x = 14,716.58

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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.