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Finding the Fourth Proportional to 21,022.85, 29,012.97 and 12,849.96

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Solution

The fourth proportional to 21,022.85, 29,012.97 and 12,849.96 is: 17,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.85 : 29,012.97 = 12,849.96 : x
  2. Step 2: Convert to fraction form
    21,022.85/29,012.97 = 12,849.96/x
  3. Step 3: Cross multiply
    21,022.85x = 29,012.97 × 12,849.96
  4. Step 4: Simplify right side
    21,022.85x = 372,815,503.98
  5. Step 5: Solve for x
    x = 372,815,503.98/21,022.85
  6. Step 6: Final answer
    x = 17,733.83

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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.