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Finding the Fourth Proportional to 17,242.25, 23,794.33 and 9,790.25

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Solution

The fourth proportional to 17,242.25, 23,794.33 and 9,790.25 is: 13,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.25 : 23,794.33 = 9,790.25 : x
  2. Step 2: Convert to fraction form
    17,242.25/23,794.33 = 9,790.25/x
  3. Step 3: Cross multiply
    17,242.25x = 23,794.33 × 9,790.25
  4. Step 4: Simplify right side
    17,242.25x = 232,952,439.28
  5. Step 5: Solve for x
    x = 232,952,439.28/17,242.25
  6. Step 6: Final answer
    x = 13,510.56

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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.