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Finding the Fourth Proportional to 17,186, 23,720.04 and 9,734

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Solution

The fourth proportional to 17,186, 23,720.04 and 9,734 is: 13,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186 : 23,720.04 = 9,734 : x
  2. Step 2: Convert to fraction form
    17,186/23,720.04 = 9,734/x
  3. Step 3: Cross multiply
    17,186x = 23,720.04 × 9,734
  4. Step 4: Simplify right side
    17,186x = 230,890,869.36
  5. Step 5: Solve for x
    x = 230,890,869.36/17,186
  6. Step 6: Final answer
    x = 13,434.82

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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.