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Finding the Fourth Proportional to 17,673.72, 26,503.56 and 7,806

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Solution

The fourth proportional to 17,673.72, 26,503.56 and 7,806 is: 11,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.72 : 26,503.56 = 7,806 : x
  2. Step 2: Convert to fraction form
    17,673.72/26,503.56 = 7,806/x
  3. Step 3: Cross multiply
    17,673.72x = 26,503.56 × 7,806
  4. Step 4: Simplify right side
    17,673.72x = 206,886,789.36
  5. Step 5: Solve for x
    x = 206,886,789.36/17,673.72
  6. Step 6: Final answer
    x = 11,705.90

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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.