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Finding the Fourth Proportional to 13,636.24, 18,797.68 and 8,327.50

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Solution

The fourth proportional to 13,636.24, 18,797.68 and 8,327.50 is: 11,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.24 : 18,797.68 = 8,327.50 : x
  2. Step 2: Convert to fraction form
    13,636.24/18,797.68 = 8,327.50/x
  3. Step 3: Cross multiply
    13,636.24x = 18,797.68 × 8,327.50
  4. Step 4: Simplify right side
    13,636.24x = 156,537,680.20
  5. Step 5: Solve for x
    x = 156,537,680.20/13,636.24
  6. Step 6: Final answer
    x = 11,479.53

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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.