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Finding the Fourth Proportional to 17,189.70, 23,720.54 and 9,635.97

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Solution

The fourth proportional to 17,189.70, 23,720.54 and 9,635.97 is: 13,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.70 : 23,720.54 = 9,635.97 : x
  2. Step 2: Convert to fraction form
    17,189.70/23,720.54 = 9,635.97/x
  3. Step 3: Cross multiply
    17,189.70x = 23,720.54 × 9,635.97
  4. Step 4: Simplify right side
    17,189.70x = 228,570,411.82
  5. Step 5: Solve for x
    x = 228,570,411.82/17,189.70
  6. Step 6: Final answer
    x = 13,296.94

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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.