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Finding the Fourth Proportional to 13,783, 19,021.95 and 8,119.53

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Solution

The fourth proportional to 13,783, 19,021.95 and 8,119.53 is: 11,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783 : 19,021.95 = 8,119.53 : x
  2. Step 2: Convert to fraction form
    13,783/19,021.95 = 8,119.53/x
  3. Step 3: Cross multiply
    13,783x = 19,021.95 × 8,119.53
  4. Step 4: Simplify right side
    13,783x = 154,449,293.68
  5. Step 5: Solve for x
    x = 154,449,293.68/13,783
  6. Step 6: Final answer
    x = 11,205.78

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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.