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Finding the Fourth Proportional to 17,322.96, 23,905.13 and 9,769.61

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Solution

The fourth proportional to 17,322.96, 23,905.13 and 9,769.61 is: 13,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.96 : 23,905.13 = 9,769.61 : x
  2. Step 2: Convert to fraction form
    17,322.96/23,905.13 = 9,769.61/x
  3. Step 3: Cross multiply
    17,322.96x = 23,905.13 × 9,769.61
  4. Step 4: Simplify right side
    17,322.96x = 233,543,808.01
  5. Step 5: Solve for x
    x = 233,543,808.01/17,322.96
  6. Step 6: Final answer
    x = 13,481.75

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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.