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Finding the Fourth Proportional to 17,233.94, 23,782.80 and 9,680.48

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Solution

The fourth proportional to 17,233.94, 23,782.80 and 9,680.48 is: 13,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.94 : 23,782.80 = 9,680.48 : x
  2. Step 2: Convert to fraction form
    17,233.94/23,782.80 = 9,680.48/x
  3. Step 3: Cross multiply
    17,233.94x = 23,782.80 × 9,680.48
  4. Step 4: Simplify right side
    17,233.94x = 230,228,800.83
  5. Step 5: Solve for x
    x = 230,228,800.83/17,233.94
  6. Step 6: Final answer
    x = 13,359.04

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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.