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Finding the Fourth Proportional to 17,201.39, 23,738.19 and 9,649.40

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Solution

The fourth proportional to 17,201.39, 23,738.19 and 9,649.40 is: 13,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.39 : 23,738.19 = 9,649.40 : x
  2. Step 2: Convert to fraction form
    17,201.39/23,738.19 = 9,649.40/x
  3. Step 3: Cross multiply
    17,201.39x = 23,738.19 × 9,649.40
  4. Step 4: Simplify right side
    17,201.39x = 229,059,290.59
  5. Step 5: Solve for x
    x = 229,059,290.59/17,201.39
  6. Step 6: Final answer
    x = 13,316.32

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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.