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Finding the Fourth Proportional to 21,721.75, 29,969.04 and 12,160.23

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Solution

The fourth proportional to 21,721.75, 29,969.04 and 12,160.23 is: 16,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.75 : 29,969.04 = 12,160.23 : x
  2. Step 2: Convert to fraction form
    21,721.75/29,969.04 = 12,160.23/x
  3. Step 3: Cross multiply
    21,721.75x = 29,969.04 × 12,160.23
  4. Step 4: Simplify right side
    21,721.75x = 364,430,408.69
  5. Step 5: Solve for x
    x = 364,430,408.69/21,721.75
  6. Step 6: Final answer
    x = 16,777.21

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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.