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Finding the Fourth Proportional to 17,336.44, 23,924.90 and 9,782.34

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Solution

The fourth proportional to 17,336.44, 23,924.90 and 9,782.34 is: 13,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.44 : 23,924.90 = 9,782.34 : x
  2. Step 2: Convert to fraction form
    17,336.44/23,924.90 = 9,782.34/x
  3. Step 3: Cross multiply
    17,336.44x = 23,924.90 × 9,782.34
  4. Step 4: Simplify right side
    17,336.44x = 234,041,441.00
  5. Step 5: Solve for x
    x = 234,041,441.00/17,336.44
  6. Step 6: Final answer
    x = 13,499.97

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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.