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Finding the Fourth Proportional to 13,223.20, 19,813.20 and 11,365.60

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Solution

The fourth proportional to 13,223.20, 19,813.20 and 11,365.60 is: 17,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.20 : 19,813.20 = 11,365.60 : x
  2. Step 2: Convert to fraction form
    13,223.20/19,813.20 = 11,365.60/x
  3. Step 3: Cross multiply
    13,223.20x = 19,813.20 × 11,365.60
  4. Step 4: Simplify right side
    13,223.20x = 225,188,905.92
  5. Step 5: Solve for x
    x = 225,188,905.92/13,223.20
  6. Step 6: Final answer
    x = 17,029.83

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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.