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Finding the Fourth Proportional to 21,105.88, 31,669.62 and 8,635.12

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Solution

The fourth proportional to 21,105.88, 31,669.62 and 8,635.12 is: 12,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.88 : 31,669.62 = 8,635.12 : x
  2. Step 2: Convert to fraction form
    21,105.88/31,669.62 = 8,635.12/x
  3. Step 3: Cross multiply
    21,105.88x = 31,669.62 × 8,635.12
  4. Step 4: Simplify right side
    21,105.88x = 273,470,969.05
  5. Step 5: Solve for x
    x = 273,470,969.05/21,105.88
  6. Step 6: Final answer
    x = 12,957.10

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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.