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Finding the Fourth Proportional to 13,884.16, 20,797.08 and 9,481

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Solution

The fourth proportional to 13,884.16, 20,797.08 and 9,481 is: 14,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.16 : 20,797.08 = 9,481 : x
  2. Step 2: Convert to fraction form
    13,884.16/20,797.08 = 9,481/x
  3. Step 3: Cross multiply
    13,884.16x = 20,797.08 × 9,481
  4. Step 4: Simplify right side
    13,884.16x = 197,177,115.48
  5. Step 5: Solve for x
    x = 197,177,115.48/13,884.16
  6. Step 6: Final answer
    x = 14,201.59

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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.