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Finding the Fourth Proportional to 17,122.90, 23,629.15 and 9,569.29

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Solution

The fourth proportional to 17,122.90, 23,629.15 and 9,569.29 is: 13,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.90 : 23,629.15 = 9,569.29 : x
  2. Step 2: Convert to fraction form
    17,122.90/23,629.15 = 9,569.29/x
  3. Step 3: Cross multiply
    17,122.90x = 23,629.15 × 9,569.29
  4. Step 4: Simplify right side
    17,122.90x = 226,114,188.80
  5. Step 5: Solve for x
    x = 226,114,188.80/17,122.90
  6. Step 6: Final answer
    x = 13,205.37

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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.