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Finding the Fourth Proportional to 13,640.76, 20,440.62 and 9,243

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Solution

The fourth proportional to 13,640.76, 20,440.62 and 9,243 is: 13,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.76 : 20,440.62 = 9,243 : x
  2. Step 2: Convert to fraction form
    13,640.76/20,440.62 = 9,243/x
  3. Step 3: Cross multiply
    13,640.76x = 20,440.62 × 9,243
  4. Step 4: Simplify right side
    13,640.76x = 188,932,650.66
  5. Step 5: Solve for x
    x = 188,932,650.66/13,640.76
  6. Step 6: Final answer
    x = 13,850.60

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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.