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Finding the Fourth Proportional to 13,772.78, 19,004.80 and 8,106.27

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Solution

The fourth proportional to 13,772.78, 19,004.80 and 8,106.27 is: 11,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.78 : 19,004.80 = 8,106.27 : x
  2. Step 2: Convert to fraction form
    13,772.78/19,004.80 = 8,106.27/x
  3. Step 3: Cross multiply
    13,772.78x = 19,004.80 × 8,106.27
  4. Step 4: Simplify right side
    13,772.78x = 154,057,999.56
  5. Step 5: Solve for x
    x = 154,057,999.56/13,772.78
  6. Step 6: Final answer
    x = 11,185.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.