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Finding the Fourth Proportional to 17,786.76, 24,544.93 and 9,828.81

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Solution

The fourth proportional to 17,786.76, 24,544.93 and 9,828.81 is: 13,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.76 : 24,544.93 = 9,828.81 : x
  2. Step 2: Convert to fraction form
    17,786.76/24,544.93 = 9,828.81/x
  3. Step 3: Cross multiply
    17,786.76x = 24,544.93 × 9,828.81
  4. Step 4: Simplify right side
    17,786.76x = 241,247,453.43
  5. Step 5: Solve for x
    x = 241,247,453.43/17,786.76
  6. Step 6: Final answer
    x = 13,563.32

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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.