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Finding the Fourth Proportional to 17,289.02, 23,857.93 and 9,735.09

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Solution

The fourth proportional to 17,289.02, 23,857.93 and 9,735.09 is: 13,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.02 : 23,857.93 = 9,735.09 : x
  2. Step 2: Convert to fraction form
    17,289.02/23,857.93 = 9,735.09/x
  3. Step 3: Cross multiply
    17,289.02x = 23,857.93 × 9,735.09
  4. Step 4: Simplify right side
    17,289.02x = 232,259,047.09
  5. Step 5: Solve for x
    x = 232,259,047.09/17,289.02
  6. Step 6: Final answer
    x = 13,433.91

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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.