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Finding the Fourth Proportional to 20,796.72, 31,196.04 and 5,214.48

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Solution

The fourth proportional to 20,796.72, 31,196.04 and 5,214.48 is: 7,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.72 : 31,196.04 = 5,214.48 : x
  2. Step 2: Convert to fraction form
    20,796.72/31,196.04 = 5,214.48/x
  3. Step 3: Cross multiply
    20,796.72x = 31,196.04 × 5,214.48
  4. Step 4: Simplify right side
    20,796.72x = 162,671,126.66
  5. Step 5: Solve for x
    x = 162,671,126.66/20,796.72
  6. Step 6: Final answer
    x = 7,821.96

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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.