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Finding the Fourth Proportional to 27,296.48, 40,947.20 and 9,766.40

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Solution

The fourth proportional to 27,296.48, 40,947.20 and 9,766.40 is: 14,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.48 : 40,947.20 = 9,766.40 : x
  2. Step 2: Convert to fraction form
    27,296.48/40,947.20 = 9,766.40/x
  3. Step 3: Cross multiply
    27,296.48x = 40,947.20 × 9,766.40
  4. Step 4: Simplify right side
    27,296.48x = 399,906,734.08
  5. Step 5: Solve for x
    x = 399,906,734.08/27,296.48
  6. Step 6: Final answer
    x = 14,650.49

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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.