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Finding the Fourth Proportional to 17,823, 26,731.06 and 5,344.60

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Solution

The fourth proportional to 17,823, 26,731.06 and 5,344.60 is: 8,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 26,731.06 = 5,344.60 : x
  2. Step 2: Convert to fraction form
    17,823/26,731.06 = 5,344.60/x
  3. Step 3: Cross multiply
    17,823x = 26,731.06 × 5,344.60
  4. Step 4: Simplify right side
    17,823x = 142,866,823.28
  5. Step 5: Solve for x
    x = 142,866,823.28/17,823
  6. Step 6: Final answer
    x = 8,015.87

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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.