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Finding the Fourth Proportional to 17,216, 23,758.08 and 9,764

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Solution

The fourth proportional to 17,216, 23,758.08 and 9,764 is: 13,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216 : 23,758.08 = 9,764 : x
  2. Step 2: Convert to fraction form
    17,216/23,758.08 = 9,764/x
  3. Step 3: Cross multiply
    17,216x = 23,758.08 × 9,764
  4. Step 4: Simplify right side
    17,216x = 231,973,893.12
  5. Step 5: Solve for x
    x = 231,973,893.12/17,216
  6. Step 6: Final answer
    x = 13,474.32

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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.