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Finding the Fourth Proportional to 17,336.72, 23,922.93 and 9,782.36

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Solution

The fourth proportional to 17,336.72, 23,922.93 and 9,782.36 is: 13,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.72 : 23,922.93 = 9,782.36 : x
  2. Step 2: Convert to fraction form
    17,336.72/23,922.93 = 9,782.36/x
  3. Step 3: Cross multiply
    17,336.72x = 23,922.93 × 9,782.36
  4. Step 4: Simplify right side
    17,336.72x = 234,022,713.51
  5. Step 5: Solve for x
    x = 234,022,713.51/17,336.72
  6. Step 6: Final answer
    x = 13,498.67

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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.