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Finding the Fourth Proportional to 13,882.64, 20,827.02 and 6,483.03

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Solution

The fourth proportional to 13,882.64, 20,827.02 and 6,483.03 is: 9,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.64 : 20,827.02 = 6,483.03 : x
  2. Step 2: Convert to fraction form
    13,882.64/20,827.02 = 6,483.03/x
  3. Step 3: Cross multiply
    13,882.64x = 20,827.02 × 6,483.03
  4. Step 4: Simplify right side
    13,882.64x = 135,022,163.06
  5. Step 5: Solve for x
    x = 135,022,163.06/13,882.64
  6. Step 6: Final answer
    x = 9,725.98

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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.