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Finding the Fourth Proportional to 17,676.27, 26,524.80 and 6,590.70

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Solution

The fourth proportional to 17,676.27, 26,524.80 and 6,590.70 is: 9,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.27 : 26,524.80 = 6,590.70 : x
  2. Step 2: Convert to fraction form
    17,676.27/26,524.80 = 6,590.70/x
  3. Step 3: Cross multiply
    17,676.27x = 26,524.80 × 6,590.70
  4. Step 4: Simplify right side
    17,676.27x = 174,816,999.36
  5. Step 5: Solve for x
    x = 174,816,999.36/17,676.27
  6. Step 6: Final answer
    x = 9,889.93

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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.