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Finding the Fourth Proportional to 20,557.72, 30,838.74 and 6,709.24

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Solution

The fourth proportional to 20,557.72, 30,838.74 and 6,709.24 is: 10,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.72 : 30,838.74 = 6,709.24 : x
  2. Step 2: Convert to fraction form
    20,557.72/30,838.74 = 6,709.24/x
  3. Step 3: Cross multiply
    20,557.72x = 30,838.74 × 6,709.24
  4. Step 4: Simplify right side
    20,557.72x = 206,904,507.96
  5. Step 5: Solve for x
    x = 206,904,507.96/20,557.72
  6. Step 6: Final answer
    x = 10,064.56

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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.