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Finding the Fourth Proportional to 17,336.64, 23,922.75 and 9,783.39

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Solution

The fourth proportional to 17,336.64, 23,922.75 and 9,783.39 is: 13,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.64 : 23,922.75 = 9,783.39 : x
  2. Step 2: Convert to fraction form
    17,336.64/23,922.75 = 9,783.39/x
  3. Step 3: Cross multiply
    17,336.64x = 23,922.75 × 9,783.39
  4. Step 4: Simplify right side
    17,336.64x = 234,045,593.12
  5. Step 5: Solve for x
    x = 234,045,593.12/17,336.64
  6. Step 6: Final answer
    x = 13,500.05

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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.