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Finding the Fourth Proportional to 17,137.69, 23,655.96 and 11,777.88

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Solution

The fourth proportional to 17,137.69, 23,655.96 and 11,777.88 is: 16,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.69 : 23,655.96 = 11,777.88 : x
  2. Step 2: Convert to fraction form
    17,137.69/23,655.96 = 11,777.88/x
  3. Step 3: Cross multiply
    17,137.69x = 23,655.96 × 11,777.88
  4. Step 4: Simplify right side
    17,137.69x = 278,617,058.16
  5. Step 5: Solve for x
    x = 278,617,058.16/17,137.69
  6. Step 6: Final answer
    x = 16,257.56

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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.