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Finding the Fourth Proportional to 21,105.25, 31,646.17 and 8,634.03

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Solution

The fourth proportional to 21,105.25, 31,646.17 and 8,634.03 is: 12,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.25 : 31,646.17 = 8,634.03 : x
  2. Step 2: Convert to fraction form
    21,105.25/31,646.17 = 8,634.03/x
  3. Step 3: Cross multiply
    21,105.25x = 31,646.17 × 8,634.03
  4. Step 4: Simplify right side
    21,105.25x = 273,233,943.39
  5. Step 5: Solve for x
    x = 273,233,943.39/21,105.25
  6. Step 6: Final answer
    x = 12,946.26

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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.