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Finding the Fourth Proportional to 13,828.22, 20,763.03 and 7,911.78

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Solution

The fourth proportional to 13,828.22, 20,763.03 and 7,911.78 is: 11,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.22 : 20,763.03 = 7,911.78 : x
  2. Step 2: Convert to fraction form
    13,828.22/20,763.03 = 7,911.78/x
  3. Step 3: Cross multiply
    13,828.22x = 20,763.03 × 7,911.78
  4. Step 4: Simplify right side
    13,828.22x = 164,272,477.30
  5. Step 5: Solve for x
    x = 164,272,477.30/13,828.22
  6. Step 6: Final answer
    x = 11,879.51

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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.