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Finding the Fourth Proportional to 11,676.33, 17,488.74 and 9,652.02

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Solution

The fourth proportional to 11,676.33, 17,488.74 and 9,652.02 is: 14,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.33 : 17,488.74 = 9,652.02 : x
  2. Step 2: Convert to fraction form
    11,676.33/17,488.74 = 9,652.02/x
  3. Step 3: Cross multiply
    11,676.33x = 17,488.74 × 9,652.02
  4. Step 4: Simplify right side
    11,676.33x = 168,801,668.25
  5. Step 5: Solve for x
    x = 168,801,668.25/11,676.33
  6. Step 6: Final answer
    x = 14,456.74

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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.