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Finding the Fourth Proportional to 20,844.72, 31,271.31 and 6,805.98

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Solution

The fourth proportional to 20,844.72, 31,271.31 and 6,805.98 is: 10,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.72 : 31,271.31 = 6,805.98 : x
  2. Step 2: Convert to fraction form
    20,844.72/31,271.31 = 6,805.98/x
  3. Step 3: Cross multiply
    20,844.72x = 31,271.31 × 6,805.98
  4. Step 4: Simplify right side
    20,844.72x = 212,831,910.43
  5. Step 5: Solve for x
    x = 212,831,910.43/20,844.72
  6. Step 6: Final answer
    x = 10,210.35

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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.