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Finding the Fourth Proportional to 17,122.50, 23,629.56 and 9,569.16

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Solution

The fourth proportional to 17,122.50, 23,629.56 and 9,569.16 is: 13,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.50 : 23,629.56 = 9,569.16 : x
  2. Step 2: Convert to fraction form
    17,122.50/23,629.56 = 9,569.16/x
  3. Step 3: Cross multiply
    17,122.50x = 23,629.56 × 9,569.16
  4. Step 4: Simplify right side
    17,122.50x = 226,115,040.37
  5. Step 5: Solve for x
    x = 226,115,040.37/17,122.50
  6. Step 6: Final answer
    x = 13,205.73

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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.