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Finding the Fourth Proportional to 17,684.38, 26,542.32 and 13,288.42

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Solution

The fourth proportional to 17,684.38, 26,542.32 and 13,288.42 is: 19,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.38 : 26,542.32 = 13,288.42 : x
  2. Step 2: Convert to fraction form
    17,684.38/26,542.32 = 13,288.42/x
  3. Step 3: Cross multiply
    17,684.38x = 26,542.32 × 13,288.42
  4. Step 4: Simplify right side
    17,684.38x = 352,705,495.93
  5. Step 5: Solve for x
    x = 352,705,495.93/17,684.38
  6. Step 6: Final answer
    x = 19,944.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.