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Finding the Fourth Proportional to 17,069, 23,555.46 and 9,617

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Solution

The fourth proportional to 17,069, 23,555.46 and 9,617 is: 13,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,069 : 23,555.46 = 9,617 : x
  2. Step 2: Convert to fraction form
    17,069/23,555.46 = 9,617/x
  3. Step 3: Cross multiply
    17,069x = 23,555.46 × 9,617
  4. Step 4: Simplify right side
    17,069x = 226,532,858.82
  5. Step 5: Solve for x
    x = 226,532,858.82/17,069
  6. Step 6: Final answer
    x = 13,271.60

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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.