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Finding the Fourth Proportional to 17,146, 23,661.48 and 9,695.44

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Solution

The fourth proportional to 17,146, 23,661.48 and 9,695.44 is: 13,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146 : 23,661.48 = 9,695.44 : x
  2. Step 2: Convert to fraction form
    17,146/23,661.48 = 9,695.44/x
  3. Step 3: Cross multiply
    17,146x = 23,661.48 × 9,695.44
  4. Step 4: Simplify right side
    17,146x = 229,408,459.65
  5. Step 5: Solve for x
    x = 229,408,459.65/17,146
  6. Step 6: Final answer
    x = 13,379.71

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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.