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Finding the Fourth Proportional to 13,197.44, 19,796.18 and 5,411.72

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Solution

The fourth proportional to 13,197.44, 19,796.18 and 5,411.72 is: 8,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.44 : 19,796.18 = 5,411.72 : x
  2. Step 2: Convert to fraction form
    13,197.44/19,796.18 = 5,411.72/x
  3. Step 3: Cross multiply
    13,197.44x = 19,796.18 × 5,411.72
  4. Step 4: Simplify right side
    13,197.44x = 107,131,383.23
  5. Step 5: Solve for x
    x = 107,131,383.23/13,197.44
  6. Step 6: Final answer
    x = 8,117.59

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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.