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Finding the Fourth Proportional to 17,830.21, 26,735.46 and 12,214.31

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Solution

The fourth proportional to 17,830.21, 26,735.46 and 12,214.31 is: 18,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.21 : 26,735.46 = 12,214.31 : x
  2. Step 2: Convert to fraction form
    17,830.21/26,735.46 = 12,214.31/x
  3. Step 3: Cross multiply
    17,830.21x = 26,735.46 × 12,214.31
  4. Step 4: Simplify right side
    17,830.21x = 326,555,196.43
  5. Step 5: Solve for x
    x = 326,555,196.43/17,830.21
  6. Step 6: Final answer
    x = 18,314.71

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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.