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Finding the Fourth Proportional to 21,172.68, 31,767.39 and 8,028.54

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Solution

The fourth proportional to 21,172.68, 31,767.39 and 8,028.54 is: 12,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.68 : 31,767.39 = 8,028.54 : x
  2. Step 2: Convert to fraction form
    21,172.68/31,767.39 = 8,028.54/x
  3. Step 3: Cross multiply
    21,172.68x = 31,767.39 × 8,028.54
  4. Step 4: Simplify right side
    21,172.68x = 255,045,761.31
  5. Step 5: Solve for x
    x = 255,045,761.31/21,172.68
  6. Step 6: Final answer
    x = 12,045.98

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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.