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Finding the Fourth Proportional to 13,197.94, 19,796.93 and 5,412.22

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Solution

The fourth proportional to 13,197.94, 19,796.93 and 5,412.22 is: 8,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.94 : 19,796.93 = 5,412.22 : x
  2. Step 2: Convert to fraction form
    13,197.94/19,796.93 = 5,412.22/x
  3. Step 3: Cross multiply
    13,197.94x = 19,796.93 × 5,412.22
  4. Step 4: Simplify right side
    13,197.94x = 107,145,340.48
  5. Step 5: Solve for x
    x = 107,145,340.48/13,197.94
  6. Step 6: Final answer
    x = 8,118.34

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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.