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Finding the Fourth Proportional to 20,855.72, 31,264.14 and 6,995

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Solution

The fourth proportional to 20,855.72, 31,264.14 and 6,995 is: 10,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.72 : 31,264.14 = 6,995 : x
  2. Step 2: Convert to fraction form
    20,855.72/31,264.14 = 6,995/x
  3. Step 3: Cross multiply
    20,855.72x = 31,264.14 × 6,995
  4. Step 4: Simplify right side
    20,855.72x = 218,692,659.30
  5. Step 5: Solve for x
    x = 218,692,659.30/20,855.72
  6. Step 6: Final answer
    x = 10,485.98

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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.