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Finding the Fourth Proportional to 17,927.72, 26,890.96 and 6,834

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Solution

The fourth proportional to 17,927.72, 26,890.96 and 6,834 is: 10,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.72 : 26,890.96 = 6,834 : x
  2. Step 2: Convert to fraction form
    17,927.72/26,890.96 = 6,834/x
  3. Step 3: Cross multiply
    17,927.72x = 26,890.96 × 6,834
  4. Step 4: Simplify right side
    17,927.72x = 183,772,820.64
  5. Step 5: Solve for x
    x = 183,772,820.64/17,927.72
  6. Step 6: Final answer
    x = 10,250.76

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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.