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Finding the Fourth Proportional to 17,122.85, 23,629.50 and 9,569.18

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Solution

The fourth proportional to 17,122.85, 23,629.50 and 9,569.18 is: 13,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.85 : 23,629.50 = 9,569.18 : x
  2. Step 2: Convert to fraction form
    17,122.85/23,629.50 = 9,569.18/x
  3. Step 3: Cross multiply
    17,122.85x = 23,629.50 × 9,569.18
  4. Step 4: Simplify right side
    17,122.85x = 226,114,997.88
  5. Step 5: Solve for x
    x = 226,114,997.88/17,122.85
  6. Step 6: Final answer
    x = 13,205.45

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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.