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Finding the Fourth Proportional to 13,636.36, 20,455.70 and 3,775.64

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Solution

The fourth proportional to 13,636.36, 20,455.70 and 3,775.64 is: 5,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.36 : 20,455.70 = 3,775.64 : x
  2. Step 2: Convert to fraction form
    13,636.36/20,455.70 = 3,775.64/x
  3. Step 3: Cross multiply
    13,636.36x = 20,455.70 × 3,775.64
  4. Step 4: Simplify right side
    13,636.36x = 77,233,359.15
  5. Step 5: Solve for x
    x = 77,233,359.15/13,636.36
  6. Step 6: Final answer
    x = 5,663.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.