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Finding the Fourth Proportional to 21,260.31, 31,896.63 and 8,113.74

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Solution

The fourth proportional to 21,260.31, 31,896.63 and 8,113.74 is: 12,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.31 : 31,896.63 = 8,113.74 : x
  2. Step 2: Convert to fraction form
    21,260.31/31,896.63 = 8,113.74/x
  3. Step 3: Cross multiply
    21,260.31x = 31,896.63 × 8,113.74
  4. Step 4: Simplify right side
    21,260.31x = 258,800,962.70
  5. Step 5: Solve for x
    x = 258,800,962.70/21,260.31
  6. Step 6: Final answer
    x = 12,172.96

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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.