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Finding the Fourth Proportional to 17,822.50, 26,733.76 and 5,343.83

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Solution

The fourth proportional to 17,822.50, 26,733.76 and 5,343.83 is: 8,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.50 : 26,733.76 = 5,343.83 : x
  2. Step 2: Convert to fraction form
    17,822.50/26,733.76 = 5,343.83/x
  3. Step 3: Cross multiply
    17,822.50x = 26,733.76 × 5,343.83
  4. Step 4: Simplify right side
    17,822.50x = 142,860,668.70
  5. Step 5: Solve for x
    x = 142,860,668.70/17,822.50
  6. Step 6: Final answer
    x = 8,015.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.