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Finding the Fourth Proportional to 17,926.72, 26,889.47 and 6,833

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Solution

The fourth proportional to 17,926.72, 26,889.47 and 6,833 is: 10,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.72 : 26,889.47 = 6,833 : x
  2. Step 2: Convert to fraction form
    17,926.72/26,889.47 = 6,833/x
  3. Step 3: Cross multiply
    17,926.72x = 26,889.47 × 6,833
  4. Step 4: Simplify right side
    17,926.72x = 183,735,714.35
  5. Step 5: Solve for x
    x = 183,735,714.35/17,926.72
  6. Step 6: Final answer
    x = 10,249.27

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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.