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Finding the Fourth Proportional to 23,676.75, 35,519.95 and 9,636.65

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Solution

The fourth proportional to 23,676.75, 35,519.95 and 9,636.65 is: 14,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.75 : 35,519.95 = 9,636.65 : x
  2. Step 2: Convert to fraction form
    23,676.75/35,519.95 = 9,636.65/x
  3. Step 3: Cross multiply
    23,676.75x = 35,519.95 × 9,636.65
  4. Step 4: Simplify right side
    23,676.75x = 342,293,326.17
  5. Step 5: Solve for x
    x = 342,293,326.17/23,676.75
  6. Step 6: Final answer
    x = 14,456.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.