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Finding the Fourth Proportional to 13,604.24, 18,775.69 and 7,636.24

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Solution

The fourth proportional to 13,604.24, 18,775.69 and 7,636.24 is: 10,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.24 : 18,775.69 = 7,636.24 : x
  2. Step 2: Convert to fraction form
    13,604.24/18,775.69 = 7,636.24/x
  3. Step 3: Cross multiply
    13,604.24x = 18,775.69 × 7,636.24
  4. Step 4: Simplify right side
    13,604.24x = 143,375,581.13
  5. Step 5: Solve for x
    x = 143,375,581.13/13,604.24
  6. Step 6: Final answer
    x = 10,539.04

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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.