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Finding the Fourth Proportional to 13,756.78, 18,983.84 and 7,469.02

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Solution

The fourth proportional to 13,756.78, 18,983.84 and 7,469.02 is: 10,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.78 : 18,983.84 = 7,469.02 : x
  2. Step 2: Convert to fraction form
    13,756.78/18,983.84 = 7,469.02/x
  3. Step 3: Cross multiply
    13,756.78x = 18,983.84 × 7,469.02
  4. Step 4: Simplify right side
    13,756.78x = 141,790,680.64
  5. Step 5: Solve for x
    x = 141,790,680.64/13,756.78
  6. Step 6: Final answer
    x = 10,306.97

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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.