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Finding the Fourth Proportional to 17,674.78, 26,516.07 and 5,828.08

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Solution

The fourth proportional to 17,674.78, 26,516.07 and 5,828.08 is: 8,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.78 : 26,516.07 = 5,828.08 : x
  2. Step 2: Convert to fraction form
    17,674.78/26,516.07 = 5,828.08/x
  3. Step 3: Cross multiply
    17,674.78x = 26,516.07 × 5,828.08
  4. Step 4: Simplify right side
    17,674.78x = 154,537,777.25
  5. Step 5: Solve for x
    x = 154,537,777.25/17,674.78
  6. Step 6: Final answer
    x = 8,743.41

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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.