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Finding the Fourth Proportional to 17,078, 23,567.64 and 9,626

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Solution

The fourth proportional to 17,078, 23,567.64 and 9,626 is: 13,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078 : 23,567.64 = 9,626 : x
  2. Step 2: Convert to fraction form
    17,078/23,567.64 = 9,626/x
  3. Step 3: Cross multiply
    17,078x = 23,567.64 × 9,626
  4. Step 4: Simplify right side
    17,078x = 226,862,102.64
  5. Step 5: Solve for x
    x = 226,862,102.64/17,078
  6. Step 6: Final answer
    x = 13,283.88

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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.