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Finding the Fourth Proportional to 21,283.71, 31,914.47 and 7,945.73

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Solution

The fourth proportional to 21,283.71, 31,914.47 and 7,945.73 is: 11,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.71 : 31,914.47 = 7,945.73 : x
  2. Step 2: Convert to fraction form
    21,283.71/31,914.47 = 7,945.73/x
  3. Step 3: Cross multiply
    21,283.71x = 31,914.47 × 7,945.73
  4. Step 4: Simplify right side
    21,283.71x = 253,583,562.41
  5. Step 5: Solve for x
    x = 253,583,562.41/21,283.71
  6. Step 6: Final answer
    x = 11,914.44

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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.