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Finding the Fourth Proportional to 13,638.12, 18,820.80 and 8,049.12

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Solution

The fourth proportional to 13,638.12, 18,820.80 and 8,049.12 is: 11,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.12 : 18,820.80 = 8,049.12 : x
  2. Step 2: Convert to fraction form
    13,638.12/18,820.80 = 8,049.12/x
  3. Step 3: Cross multiply
    13,638.12x = 18,820.80 × 8,049.12
  4. Step 4: Simplify right side
    13,638.12x = 151,490,877.70
  5. Step 5: Solve for x
    x = 151,490,877.70/13,638.12
  6. Step 6: Final answer
    x = 11,107.90

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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.