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Finding the Fourth Proportional to 13,638.96, 18,824.35 and 8,536.85

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Solution

The fourth proportional to 13,638.96, 18,824.35 and 8,536.85 is: 11,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.96 : 18,824.35 = 8,536.85 : x
  2. Step 2: Convert to fraction form
    13,638.96/18,824.35 = 8,536.85/x
  3. Step 3: Cross multiply
    13,638.96x = 18,824.35 × 8,536.85
  4. Step 4: Simplify right side
    13,638.96x = 160,700,584.85
  5. Step 5: Solve for x
    x = 160,700,584.85/13,638.96
  6. Step 6: Final answer
    x = 11,782.46

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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.