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Finding the Fourth Proportional to 22,563.91, 33,849.15 and 6,982.75

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Solution

The fourth proportional to 22,563.91, 33,849.15 and 6,982.75 is: 10,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.91 : 33,849.15 = 6,982.75 : x
  2. Step 2: Convert to fraction form
    22,563.91/33,849.15 = 6,982.75/x
  3. Step 3: Cross multiply
    22,563.91x = 33,849.15 × 6,982.75
  4. Step 4: Simplify right side
    22,563.91x = 236,360,152.16
  5. Step 5: Solve for x
    x = 236,360,152.16/22,563.91
  6. Step 6: Final answer
    x = 10,475.14

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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.