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Finding the Fourth Proportional to 17,674.45, 24,391.43 and 9,716.51

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Solution

The fourth proportional to 17,674.45, 24,391.43 and 9,716.51 is: 13,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.45 : 24,391.43 = 9,716.51 : x
  2. Step 2: Convert to fraction form
    17,674.45/24,391.43 = 9,716.51/x
  3. Step 3: Cross multiply
    17,674.45x = 24,391.43 × 9,716.51
  4. Step 4: Simplify right side
    17,674.45x = 236,999,485.14
  5. Step 5: Solve for x
    x = 236,999,485.14/17,674.45
  6. Step 6: Final answer
    x = 13,409.16

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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.