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Finding the Fourth Proportional to 21,214.62, 31,826.02 and 8,065.97

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Solution

The fourth proportional to 21,214.62, 31,826.02 and 8,065.97 is: 12,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.62 : 31,826.02 = 8,065.97 : x
  2. Step 2: Convert to fraction form
    21,214.62/31,826.02 = 8,065.97/x
  3. Step 3: Cross multiply
    21,214.62x = 31,826.02 × 8,065.97
  4. Step 4: Simplify right side
    21,214.62x = 256,707,622.23
  5. Step 5: Solve for x
    x = 256,707,622.23/21,214.62
  6. Step 6: Final answer
    x = 12,100.51

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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.