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Finding the Fourth Proportional to 17,134.48, 23,644.68 and 9,682

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Solution

The fourth proportional to 17,134.48, 23,644.68 and 9,682 is: 13,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.48 : 23,644.68 = 9,682 : x
  2. Step 2: Convert to fraction form
    17,134.48/23,644.68 = 9,682/x
  3. Step 3: Cross multiply
    17,134.48x = 23,644.68 × 9,682
  4. Step 4: Simplify right side
    17,134.48x = 228,927,791.76
  5. Step 5: Solve for x
    x = 228,927,791.76/17,134.48
  6. Step 6: Final answer
    x = 13,360.65

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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.