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Finding the Fourth Proportional to 17,042.25, 23,516.41 and 9,486.84

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Solution

The fourth proportional to 17,042.25, 23,516.41 and 9,486.84 is: 13,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.25 : 23,516.41 = 9,486.84 : x
  2. Step 2: Convert to fraction form
    17,042.25/23,516.41 = 9,486.84/x
  3. Step 3: Cross multiply
    17,042.25x = 23,516.41 × 9,486.84
  4. Step 4: Simplify right side
    17,042.25x = 223,096,419.04
  5. Step 5: Solve for x
    x = 223,096,419.04/17,042.25
  6. Step 6: Final answer
    x = 13,090.78

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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.