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Finding the Fourth Proportional to 17,287.30, 23,856.24 and 9,734.37

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Solution

The fourth proportional to 17,287.30, 23,856.24 and 9,734.37 is: 13,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.30 : 23,856.24 = 9,734.37 : x
  2. Step 2: Convert to fraction form
    17,287.30/23,856.24 = 9,734.37/x
  3. Step 3: Cross multiply
    17,287.30x = 23,856.24 × 9,734.37
  4. Step 4: Simplify right side
    17,287.30x = 232,225,497.21
  5. Step 5: Solve for x
    x = 232,225,497.21/17,287.30
  6. Step 6: Final answer
    x = 13,433.30

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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.