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Finding the Fourth Proportional to 27,806.40, 41,709.60 and 16,149.60

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Solution

The fourth proportional to 27,806.40, 41,709.60 and 16,149.60 is: 24,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.40 : 41,709.60 = 16,149.60 : x
  2. Step 2: Convert to fraction form
    27,806.40/41,709.60 = 16,149.60/x
  3. Step 3: Cross multiply
    27,806.40x = 41,709.60 × 16,149.60
  4. Step 4: Simplify right side
    27,806.40x = 673,593,356.16
  5. Step 5: Solve for x
    x = 673,593,356.16/27,806.40
  6. Step 6: Final answer
    x = 24,224.40

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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.