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Finding the Fourth Proportional to 17,682, 26,514.90 and 6,586.08

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Solution

The fourth proportional to 17,682, 26,514.90 and 6,586.08 is: 9,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682 : 26,514.90 = 6,586.08 : x
  2. Step 2: Convert to fraction form
    17,682/26,514.90 = 6,586.08/x
  3. Step 3: Cross multiply
    17,682x = 26,514.90 × 6,586.08
  4. Step 4: Simplify right side
    17,682x = 174,629,252.59
  5. Step 5: Solve for x
    x = 174,629,252.59/17,682
  6. Step 6: Final answer
    x = 9,876.10

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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.