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Finding the Fourth Proportional to 17,513.96, 24,169.24 and 9,556.24

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Solution

The fourth proportional to 17,513.96, 24,169.24 and 9,556.24 is: 13,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,513.96 : 24,169.24 = 9,556.24 : x
  2. Step 2: Convert to fraction form
    17,513.96/24,169.24 = 9,556.24/x
  3. Step 3: Cross multiply
    17,513.96x = 24,169.24 × 9,556.24
  4. Step 4: Simplify right side
    17,513.96x = 230,967,058.06
  5. Step 5: Solve for x
    x = 230,967,058.06/17,513.96
  6. Step 6: Final answer
    x = 13,187.60

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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.