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Finding the Fourth Proportional to 17,165.62, 23,699.26 and 13,178.80

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Solution

The fourth proportional to 17,165.62, 23,699.26 and 13,178.80 is: 18,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.62 : 23,699.26 = 13,178.80 : x
  2. Step 2: Convert to fraction form
    17,165.62/23,699.26 = 13,178.80/x
  3. Step 3: Cross multiply
    17,165.62x = 23,699.26 × 13,178.80
  4. Step 4: Simplify right side
    17,165.62x = 312,327,807.69
  5. Step 5: Solve for x
    x = 312,327,807.69/17,165.62
  6. Step 6: Final answer
    x = 18,194.96

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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.