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Finding the Fourth Proportional to 20,782.69, 31,174.04 and 5,200.32

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Solution

The fourth proportional to 20,782.69, 31,174.04 and 5,200.32 is: 7,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.69 : 31,174.04 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    20,782.69/31,174.04 = 5,200.32/x
  3. Step 3: Cross multiply
    20,782.69x = 31,174.04 × 5,200.32
  4. Step 4: Simplify right side
    20,782.69x = 162,114,983.69
  5. Step 5: Solve for x
    x = 162,114,983.69/20,782.69
  6. Step 6: Final answer
    x = 7,800.48

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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.