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Finding the Fourth Proportional to 30,823.36, 46,224.10 and 11,096.62

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Solution

The fourth proportional to 30,823.36, 46,224.10 and 11,096.62 is: 16,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.36 : 46,224.10 = 11,096.62 : x
  2. Step 2: Convert to fraction form
    30,823.36/46,224.10 = 11,096.62/x
  3. Step 3: Cross multiply
    30,823.36x = 46,224.10 × 11,096.62
  4. Step 4: Simplify right side
    30,823.36x = 512,931,170.85
  5. Step 5: Solve for x
    x = 512,931,170.85/30,823.36
  6. Step 6: Final answer
    x = 16,640.99

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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.