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Finding the Fourth Proportional to 17,122.58, 23,629.25 and 9,569.04

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Solution

The fourth proportional to 17,122.58, 23,629.25 and 9,569.04 is: 13,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.58 : 23,629.25 = 9,569.04 : x
  2. Step 2: Convert to fraction form
    17,122.58/23,629.25 = 9,569.04/x
  3. Step 3: Cross multiply
    17,122.58x = 23,629.25 × 9,569.04
  4. Step 4: Simplify right side
    17,122.58x = 226,109,231.22
  5. Step 5: Solve for x
    x = 226,109,231.22/17,122.58
  6. Step 6: Final answer
    x = 13,205.32

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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.