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Finding the Fourth Proportional to 21,236.77, 31,856.37 and 6,446.17

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Solution

The fourth proportional to 21,236.77, 31,856.37 and 6,446.17 is: 9,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.77 : 31,856.37 = 6,446.17 : x
  2. Step 2: Convert to fraction form
    21,236.77/31,856.37 = 6,446.17/x
  3. Step 3: Cross multiply
    21,236.77x = 31,856.37 × 6,446.17
  4. Step 4: Simplify right side
    21,236.77x = 205,351,576.60
  5. Step 5: Solve for x
    x = 205,351,576.60/21,236.77
  6. Step 6: Final answer
    x = 9,669.62

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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.