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Finding the Fourth Proportional to 21,640.90, 29,865.82 and 12,206.02

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Solution

The fourth proportional to 21,640.90, 29,865.82 and 12,206.02 is: 16,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.90 : 29,865.82 = 12,206.02 : x
  2. Step 2: Convert to fraction form
    21,640.90/29,865.82 = 12,206.02/x
  3. Step 3: Cross multiply
    21,640.90x = 29,865.82 × 12,206.02
  4. Step 4: Simplify right side
    21,640.90x = 364,542,796.24
  5. Step 5: Solve for x
    x = 364,542,796.24/21,640.90
  6. Step 6: Final answer
    x = 16,845.08

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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.