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Finding the Fourth Proportional to 17,383.50, 26,080.65 and 5,071.50

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Solution

The fourth proportional to 17,383.50, 26,080.65 and 5,071.50 is: 7,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.50 : 26,080.65 = 5,071.50 : x
  2. Step 2: Convert to fraction form
    17,383.50/26,080.65 = 5,071.50/x
  3. Step 3: Cross multiply
    17,383.50x = 26,080.65 × 5,071.50
  4. Step 4: Simplify right side
    17,383.50x = 132,268,016.48
  5. Step 5: Solve for x
    x = 132,268,016.48/17,383.50
  6. Step 6: Final answer
    x = 7,608.83

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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.