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Finding the Fourth Proportional to 17,336.33, 23,924.14 and 9,784.27

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Solution

The fourth proportional to 17,336.33, 23,924.14 and 9,784.27 is: 13,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.33 : 23,924.14 = 9,784.27 : x
  2. Step 2: Convert to fraction form
    17,336.33/23,924.14 = 9,784.27/x
  3. Step 3: Cross multiply
    17,336.33x = 23,924.14 × 9,784.27
  4. Step 4: Simplify right side
    17,336.33x = 234,080,245.28
  5. Step 5: Solve for x
    x = 234,080,245.28/17,336.33
  6. Step 6: Final answer
    x = 13,502.30

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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.