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Finding the Fourth Proportional to 13,635.69, 20,453.56 and 3,774.99

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Solution

The fourth proportional to 13,635.69, 20,453.56 and 3,774.99 is: 5,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.69 : 20,453.56 = 3,774.99 : x
  2. Step 2: Convert to fraction form
    13,635.69/20,453.56 = 3,774.99/x
  3. Step 3: Cross multiply
    13,635.69x = 20,453.56 × 3,774.99
  4. Step 4: Simplify right side
    13,635.69x = 77,212,051.73
  5. Step 5: Solve for x
    x = 77,212,051.73/13,635.69
  6. Step 6: Final answer
    x = 5,662.50

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Why These Related Problems?

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