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Finding the Fourth Proportional to 17,676.28, 26,514.42 and 7,287.76

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Solution

The fourth proportional to 17,676.28, 26,514.42 and 7,287.76 is: 10,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.28 : 26,514.42 = 7,287.76 : x
  2. Step 2: Convert to fraction form
    17,676.28/26,514.42 = 7,287.76/x
  3. Step 3: Cross multiply
    17,676.28x = 26,514.42 × 7,287.76
  4. Step 4: Simplify right side
    17,676.28x = 193,230,729.50
  5. Step 5: Solve for x
    x = 193,230,729.50/17,676.28
  6. Step 6: Final answer
    x = 10,931.64

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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.