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Finding the Fourth Proportional to 21,272.16, 31,906.94 and 9,422.46

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Solution

The fourth proportional to 21,272.16, 31,906.94 and 9,422.46 is: 14,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.16 : 31,906.94 = 9,422.46 : x
  2. Step 2: Convert to fraction form
    21,272.16/31,906.94 = 9,422.46/x
  3. Step 3: Cross multiply
    21,272.16x = 31,906.94 × 9,422.46
  4. Step 4: Simplify right side
    21,272.16x = 300,641,865.87
  5. Step 5: Solve for x
    x = 300,641,865.87/21,272.16
  6. Step 6: Final answer
    x = 14,133.11

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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.