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Finding the Fourth Proportional to 17,338.97, 23,921.84 and 9,784.37

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Solution

The fourth proportional to 17,338.97, 23,921.84 and 9,784.37 is: 13,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.97 : 23,921.84 = 9,784.37 : x
  2. Step 2: Convert to fraction form
    17,338.97/23,921.84 = 9,784.37/x
  3. Step 3: Cross multiply
    17,338.97x = 23,921.84 × 9,784.37
  4. Step 4: Simplify right side
    17,338.97x = 234,060,084.72
  5. Step 5: Solve for x
    x = 234,060,084.72/17,338.97
  6. Step 6: Final answer
    x = 13,499.08

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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.