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Finding the Fourth Proportional to 17,033.51, 23,504.14 and 9,477.83

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Solution

The fourth proportional to 17,033.51, 23,504.14 and 9,477.83 is: 13,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033.51 : 23,504.14 = 9,477.83 : x
  2. Step 2: Convert to fraction form
    17,033.51/23,504.14 = 9,477.83/x
  3. Step 3: Cross multiply
    17,033.51x = 23,504.14 × 9,477.83
  4. Step 4: Simplify right side
    17,033.51x = 222,768,243.22
  5. Step 5: Solve for x
    x = 222,768,243.22/17,033.51
  6. Step 6: Final answer
    x = 13,078.23

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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.