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Finding the Fourth Proportional to 13,579.38, 18,739.53 and 8,274.21

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Solution

The fourth proportional to 13,579.38, 18,739.53 and 8,274.21 is: 11,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579.38 : 18,739.53 = 8,274.21 : x
  2. Step 2: Convert to fraction form
    13,579.38/18,739.53 = 8,274.21/x
  3. Step 3: Cross multiply
    13,579.38x = 18,739.53 × 8,274.21
  4. Step 4: Simplify right side
    13,579.38x = 155,054,806.52
  5. Step 5: Solve for x
    x = 155,054,806.52/13,579.38
  6. Step 6: Final answer
    x = 11,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.