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Finding the Fourth Proportional to 21,571.72, 29,771.72 and 12,142.08

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Solution

The fourth proportional to 21,571.72, 29,771.72 and 12,142.08 is: 16,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.72 : 29,771.72 = 12,142.08 : x
  2. Step 2: Convert to fraction form
    21,571.72/29,771.72 = 12,142.08/x
  3. Step 3: Cross multiply
    21,571.72x = 29,771.72 × 12,142.08
  4. Step 4: Simplify right side
    21,571.72x = 361,490,605.98
  5. Step 5: Solve for x
    x = 361,490,605.98/21,571.72
  6. Step 6: Final answer
    x = 16,757.62

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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.