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Finding the Fourth Proportional to 20,857.72, 31,267.14 and 6,997

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Solution

The fourth proportional to 20,857.72, 31,267.14 and 6,997 is: 10,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.72 : 31,267.14 = 6,997 : x
  2. Step 2: Convert to fraction form
    20,857.72/31,267.14 = 6,997/x
  3. Step 3: Cross multiply
    20,857.72x = 31,267.14 × 6,997
  4. Step 4: Simplify right side
    20,857.72x = 218,776,178.58
  5. Step 5: Solve for x
    x = 218,776,178.58/20,857.72
  6. Step 6: Final answer
    x = 10,488.98

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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.