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Finding the Fourth Proportional to 21,093.40, 31,640.64 and 9,997.48

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Solution

The fourth proportional to 21,093.40, 31,640.64 and 9,997.48 is: 14,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.40 : 31,640.64 = 9,997.48 : x
  2. Step 2: Convert to fraction form
    21,093.40/31,640.64 = 9,997.48/x
  3. Step 3: Cross multiply
    21,093.40x = 31,640.64 × 9,997.48
  4. Step 4: Simplify right side
    21,093.40x = 316,326,665.59
  5. Step 5: Solve for x
    x = 316,326,665.59/21,093.40
  6. Step 6: Final answer
    x = 14,996.48

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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.