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Finding the Fourth Proportional to 17,338.85, 23,921.66 and 9,784.25

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Solution

The fourth proportional to 17,338.85, 23,921.66 and 9,784.25 is: 13,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.85 : 23,921.66 = 9,784.25 : x
  2. Step 2: Convert to fraction form
    17,338.85/23,921.66 = 9,784.25/x
  3. Step 3: Cross multiply
    17,338.85x = 23,921.66 × 9,784.25
  4. Step 4: Simplify right side
    17,338.85x = 234,055,333.33
  5. Step 5: Solve for x
    x = 234,055,333.33/17,338.85
  6. Step 6: Final answer
    x = 13,498.90

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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.