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Finding the Fourth Proportional to 24,452.16, 36,678.24 and 6,922.14

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Solution

The fourth proportional to 24,452.16, 36,678.24 and 6,922.14 is: 10,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.16 : 36,678.24 = 6,922.14 : x
  2. Step 2: Convert to fraction form
    24,452.16/36,678.24 = 6,922.14/x
  3. Step 3: Cross multiply
    24,452.16x = 36,678.24 × 6,922.14
  4. Step 4: Simplify right side
    24,452.16x = 253,891,912.23
  5. Step 5: Solve for x
    x = 253,891,912.23/24,452.16
  6. Step 6: Final answer
    x = 10,383.21

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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.