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Finding the Fourth Proportional to 17,322.09, 23,904.74 and 9,768.78

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Solution

The fourth proportional to 17,322.09, 23,904.74 and 9,768.78 is: 13,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.09 : 23,904.74 = 9,768.78 : x
  2. Step 2: Convert to fraction form
    17,322.09/23,904.74 = 9,768.78/x
  3. Step 3: Cross multiply
    17,322.09x = 23,904.74 × 9,768.78
  4. Step 4: Simplify right side
    17,322.09x = 233,520,097.17
  5. Step 5: Solve for x
    x = 233,520,097.17/17,322.09
  6. Step 6: Final answer
    x = 13,481.06

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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.