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Finding the Fourth Proportional to 12,801.75, 19,204.79 and 5,409.69

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Solution

The fourth proportional to 12,801.75, 19,204.79 and 5,409.69 is: 8,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.75 : 19,204.79 = 5,409.69 : x
  2. Step 2: Convert to fraction form
    12,801.75/19,204.79 = 5,409.69/x
  3. Step 3: Cross multiply
    12,801.75x = 19,204.79 × 5,409.69
  4. Step 4: Simplify right side
    12,801.75x = 103,891,933.37
  5. Step 5: Solve for x
    x = 103,891,933.37/12,801.75
  6. Step 6: Final answer
    x = 8,115.45

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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.