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Finding the Fourth Proportional to 21,149.97, 31,725.31 and 8,008.53

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Solution

The fourth proportional to 21,149.97, 31,725.31 and 8,008.53 is: 12,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.97 : 31,725.31 = 8,008.53 : x
  2. Step 2: Convert to fraction form
    21,149.97/31,725.31 = 8,008.53/x
  3. Step 3: Cross multiply
    21,149.97x = 31,725.31 × 8,008.53
  4. Step 4: Simplify right side
    21,149.97x = 254,072,938.27
  5. Step 5: Solve for x
    x = 254,072,938.27/21,149.97
  6. Step 6: Final answer
    x = 12,012.92

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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.