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Finding the Fourth Proportional to 13,757.30, 20,632.63 and 6,354.64

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Solution

The fourth proportional to 13,757.30, 20,632.63 and 6,354.64 is: 9,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.30 : 20,632.63 = 6,354.64 : x
  2. Step 2: Convert to fraction form
    13,757.30/20,632.63 = 6,354.64/x
  3. Step 3: Cross multiply
    13,757.30x = 20,632.63 × 6,354.64
  4. Step 4: Simplify right side
    13,757.30x = 131,112,935.90
  5. Step 5: Solve for x
    x = 131,112,935.90/13,757.30
  6. Step 6: Final answer
    x = 9,530.43

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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.