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Finding the Fourth Proportional to 21,571.65, 29,768.82 and 12,140.21

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Solution

The fourth proportional to 21,571.65, 29,768.82 and 12,140.21 is: 16,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.65 : 29,768.82 = 12,140.21 : x
  2. Step 2: Convert to fraction form
    21,571.65/29,768.82 = 12,140.21/x
  3. Step 3: Cross multiply
    21,571.65x = 29,768.82 × 12,140.21
  4. Step 4: Simplify right side
    21,571.65x = 361,399,755.15
  5. Step 5: Solve for x
    x = 361,399,755.15/21,571.65
  6. Step 6: Final answer
    x = 16,753.46

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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.