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Finding the Fourth Proportional to 13,564.82, 20,378.50 and 13,004.33

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Solution

The fourth proportional to 13,564.82, 20,378.50 and 13,004.33 is: 19,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.82 : 20,378.50 = 13,004.33 : x
  2. Step 2: Convert to fraction form
    13,564.82/20,378.50 = 13,004.33/x
  3. Step 3: Cross multiply
    13,564.82x = 20,378.50 × 13,004.33
  4. Step 4: Simplify right side
    13,564.82x = 265,008,571.99
  5. Step 5: Solve for x
    x = 265,008,571.99/13,564.82
  6. Step 6: Final answer
    x = 19,536.47

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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.