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Finding the Fourth Proportional to 17,455.26, 26,167 and 6,359.42

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Solution

The fourth proportional to 17,455.26, 26,167 and 6,359.42 is: 9,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.26 : 26,167 = 6,359.42 : x
  2. Step 2: Convert to fraction form
    17,455.26/26,167 = 6,359.42/x
  3. Step 3: Cross multiply
    17,455.26x = 26,167 × 6,359.42
  4. Step 4: Simplify right side
    17,455.26x = 166,406,812.31
  5. Step 5: Solve for x
    x = 166,406,812.31/17,455.26
  6. Step 6: Final answer
    x = 9,533.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.