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Finding the Fourth Proportional to 12,801.36, 19,204.64 and 5,405.79

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Solution

The fourth proportional to 12,801.36, 19,204.64 and 5,405.79 is: 8,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.36 : 19,204.64 = 5,405.79 : x
  2. Step 2: Convert to fraction form
    12,801.36/19,204.64 = 5,405.79/x
  3. Step 3: Cross multiply
    12,801.36x = 19,204.64 × 5,405.79
  4. Step 4: Simplify right side
    12,801.36x = 103,816,223.84
  5. Step 5: Solve for x
    x = 103,816,223.84/12,801.36
  6. Step 6: Final answer
    x = 8,109.78

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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.