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Finding the Fourth Proportional to 20,809, 31,216.86 and 6,961.24

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Solution

The fourth proportional to 20,809, 31,216.86 and 6,961.24 is: 10,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809 : 31,216.86 = 6,961.24 : x
  2. Step 2: Convert to fraction form
    20,809/31,216.86 = 6,961.24/x
  3. Step 3: Cross multiply
    20,809x = 31,216.86 × 6,961.24
  4. Step 4: Simplify right side
    20,809x = 217,308,054.51
  5. Step 5: Solve for x
    x = 217,308,054.51/20,809
  6. Step 6: Final answer
    x = 10,442.98

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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.