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Finding the Fourth Proportional to 13,783.80, 19,020.60 and 7,816.44

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Solution

The fourth proportional to 13,783.80, 19,020.60 and 7,816.44 is: 10,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.80 : 19,020.60 = 7,816.44 : x
  2. Step 2: Convert to fraction form
    13,783.80/19,020.60 = 7,816.44/x
  3. Step 3: Cross multiply
    13,783.80x = 19,020.60 × 7,816.44
  4. Step 4: Simplify right side
    13,783.80x = 148,673,378.66
  5. Step 5: Solve for x
    x = 148,673,378.66/13,783.80
  6. Step 6: Final answer
    x = 10,786.10

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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.