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Finding the Fourth Proportional to 19,680.24, 29,522.16 and 5,640.24

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Solution

The fourth proportional to 19,680.24, 29,522.16 and 5,640.24 is: 8,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.24 : 29,522.16 = 5,640.24 : x
  2. Step 2: Convert to fraction form
    19,680.24/29,522.16 = 5,640.24/x
  3. Step 3: Cross multiply
    19,680.24x = 29,522.16 × 5,640.24
  4. Step 4: Simplify right side
    19,680.24x = 166,512,067.72
  5. Step 5: Solve for x
    x = 166,512,067.72/19,680.24
  6. Step 6: Final answer
    x = 8,460.88

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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.