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Finding the Fourth Proportional to 21,638.52, 29,862.54 and 12,203.64

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Solution

The fourth proportional to 21,638.52, 29,862.54 and 12,203.64 is: 16,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.52 : 29,862.54 = 12,203.64 : x
  2. Step 2: Convert to fraction form
    21,638.52/29,862.54 = 12,203.64/x
  3. Step 3: Cross multiply
    21,638.52x = 29,862.54 × 12,203.64
  4. Step 4: Simplify right side
    21,638.52x = 364,431,687.65
  5. Step 5: Solve for x
    x = 364,431,687.65/21,638.52
  6. Step 6: Final answer
    x = 16,841.80

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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.