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Finding the Fourth Proportional to 17,657.72, 24,349.29 and 13,174.37

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Solution

The fourth proportional to 17,657.72, 24,349.29 and 13,174.37 is: 18,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.72 : 24,349.29 = 13,174.37 : x
  2. Step 2: Convert to fraction form
    17,657.72/24,349.29 = 13,174.37/x
  3. Step 3: Cross multiply
    17,657.72x = 24,349.29 × 13,174.37
  4. Step 4: Simplify right side
    17,657.72x = 320,786,550.70
  5. Step 5: Solve for x
    x = 320,786,550.70/17,657.72
  6. Step 6: Final answer
    x = 18,166.93

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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.