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Finding the Fourth Proportional to 21,682.80, 29,921.91 and 12,122.16

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Solution

The fourth proportional to 21,682.80, 29,921.91 and 12,122.16 is: 16,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.80 : 29,921.91 = 12,122.16 : x
  2. Step 2: Convert to fraction form
    21,682.80/29,921.91 = 12,122.16/x
  3. Step 3: Cross multiply
    21,682.80x = 29,921.91 × 12,122.16
  4. Step 4: Simplify right side
    21,682.80x = 362,718,180.53
  5. Step 5: Solve for x
    x = 362,718,180.53/21,682.80
  6. Step 6: Final answer
    x = 16,728.38

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Why These Related Problems?

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