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Finding the Fourth Proportional to 17,504, 26,260.32 and 5,192

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Solution

The fourth proportional to 17,504, 26,260.32 and 5,192 is: 7,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504 : 26,260.32 = 5,192 : x
  2. Step 2: Convert to fraction form
    17,504/26,260.32 = 5,192/x
  3. Step 3: Cross multiply
    17,504x = 26,260.32 × 5,192
  4. Step 4: Simplify right side
    17,504x = 136,343,581.44
  5. Step 5: Solve for x
    x = 136,343,581.44/17,504
  6. Step 6: Final answer
    x = 7,789.28

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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.