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Finding the Fourth Proportional to 17,832.69, 26,734.46 and 6,733.06

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Solution

The fourth proportional to 17,832.69, 26,734.46 and 6,733.06 is: 10,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.69 : 26,734.46 = 6,733.06 : x
  2. Step 2: Convert to fraction form
    17,832.69/26,734.46 = 6,733.06/x
  3. Step 3: Cross multiply
    17,832.69x = 26,734.46 × 6,733.06
  4. Step 4: Simplify right side
    17,832.69x = 180,004,622.75
  5. Step 5: Solve for x
    x = 180,004,622.75/17,832.69
  6. Step 6: Final answer
    x = 10,094.08

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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.