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Finding the Fourth Proportional to 20,997.52, 31,486.40 and 7,846.40

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Solution

The fourth proportional to 20,997.52, 31,486.40 and 7,846.40 is: 11,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.52 : 31,486.40 = 7,846.40 : x
  2. Step 2: Convert to fraction form
    20,997.52/31,486.40 = 7,846.40/x
  3. Step 3: Cross multiply
    20,997.52x = 31,486.40 × 7,846.40
  4. Step 4: Simplify right side
    20,997.52x = 247,054,888.96
  5. Step 5: Solve for x
    x = 247,054,888.96/20,997.52
  6. Step 6: Final answer
    x = 11,765.91

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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.