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Finding the Fourth Proportional to 17,041.38, 23,517.10 and 9,969.16

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Solution

The fourth proportional to 17,041.38, 23,517.10 and 9,969.16 is: 13,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041.38 : 23,517.10 = 9,969.16 : x
  2. Step 2: Convert to fraction form
    17,041.38/23,517.10 = 9,969.16/x
  3. Step 3: Cross multiply
    17,041.38x = 23,517.10 × 9,969.16
  4. Step 4: Simplify right side
    17,041.38x = 234,445,732.64
  5. Step 5: Solve for x
    x = 234,445,732.64/17,041.38
  6. Step 6: Final answer
    x = 13,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.