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Finding the Fourth Proportional to 17,504, 26,080.96 and 16,162.64

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Solution

The fourth proportional to 17,504, 26,080.96 and 16,162.64 is: 24,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504 : 26,080.96 = 16,162.64 : x
  2. Step 2: Convert to fraction form
    17,504/26,080.96 = 16,162.64/x
  3. Step 3: Cross multiply
    17,504x = 26,080.96 × 16,162.64
  4. Step 4: Simplify right side
    17,504x = 421,537,167.33
  5. Step 5: Solve for x
    x = 421,537,167.33/17,504
  6. Step 6: Final answer
    x = 24,082.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.