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Finding the Fourth Proportional to 12,910.28, 19,365.42 and 9,022.28

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Solution

The fourth proportional to 12,910.28, 19,365.42 and 9,022.28 is: 13,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.28 : 19,365.42 = 9,022.28 : x
  2. Step 2: Convert to fraction form
    12,910.28/19,365.42 = 9,022.28/x
  3. Step 3: Cross multiply
    12,910.28x = 19,365.42 × 9,022.28
  4. Step 4: Simplify right side
    12,910.28x = 174,720,241.56
  5. Step 5: Solve for x
    x = 174,720,241.56/12,910.28
  6. Step 6: Final answer
    x = 13,533.42

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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.