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Finding the Fourth Proportional to 13,728.22, 20,415.72 and 13,290.82

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Solution

The fourth proportional to 13,728.22, 20,415.72 and 13,290.82 is: 19,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.22 : 20,415.72 = 13,290.82 : x
  2. Step 2: Convert to fraction form
    13,728.22/20,415.72 = 13,290.82/x
  3. Step 3: Cross multiply
    13,728.22x = 20,415.72 × 13,290.82
  4. Step 4: Simplify right side
    13,728.22x = 271,341,659.69
  5. Step 5: Solve for x
    x = 271,341,659.69/13,728.22
  6. Step 6: Final answer
    x = 19,765.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.