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Finding the Fourth Proportional to 13,022.29, 17,969.67 and 7,644.15

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Solution

The fourth proportional to 13,022.29, 17,969.67 and 7,644.15 is: 10,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.29 : 17,969.67 = 7,644.15 : x
  2. Step 2: Convert to fraction form
    13,022.29/17,969.67 = 7,644.15/x
  3. Step 3: Cross multiply
    13,022.29x = 17,969.67 × 7,644.15
  4. Step 4: Simplify right side
    13,022.29x = 137,362,852.93
  5. Step 5: Solve for x
    x = 137,362,852.93/13,022.29
  6. Step 6: Final answer
    x = 10,548.29

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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.