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Finding the Fourth Proportional to 21,761.96, 30,029.12 and 12,812.28

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Solution

The fourth proportional to 21,761.96, 30,029.12 and 12,812.28 is: 17,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.96 : 30,029.12 = 12,812.28 : x
  2. Step 2: Convert to fraction form
    21,761.96/30,029.12 = 12,812.28/x
  3. Step 3: Cross multiply
    21,761.96x = 30,029.12 × 12,812.28
  4. Step 4: Simplify right side
    21,761.96x = 384,741,493.59
  5. Step 5: Solve for x
    x = 384,741,493.59/21,761.96
  6. Step 6: Final answer
    x = 17,679.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.