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Finding the Fourth Proportional to 21,638.90, 29,863.06 and 12,204.02

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Solution

The fourth proportional to 21,638.90, 29,863.06 and 12,204.02 is: 16,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.90 : 29,863.06 = 12,204.02 : x
  2. Step 2: Convert to fraction form
    21,638.90/29,863.06 = 12,204.02/x
  3. Step 3: Cross multiply
    21,638.90x = 29,863.06 × 12,204.02
  4. Step 4: Simplify right side
    21,638.90x = 364,449,232.19
  5. Step 5: Solve for x
    x = 364,449,232.19/21,638.90
  6. Step 6: Final answer
    x = 16,842.32

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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.