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Finding the Fourth Proportional to 20,285.84, 30,431.32 and 6,961.43

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Solution

The fourth proportional to 20,285.84, 30,431.32 and 6,961.43 is: 10,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.84 : 30,431.32 = 6,961.43 : x
  2. Step 2: Convert to fraction form
    20,285.84/30,431.32 = 6,961.43/x
  3. Step 3: Cross multiply
    20,285.84x = 30,431.32 × 6,961.43
  4. Step 4: Simplify right side
    20,285.84x = 211,845,317.02
  5. Step 5: Solve for x
    x = 211,845,317.02/20,285.84
  6. Step 6: Final answer
    x = 10,443.02

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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.