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Finding the Fourth Proportional to 12,354.63, 17,049.38 and 6,765.63

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Solution

The fourth proportional to 12,354.63, 17,049.38 and 6,765.63 is: 9,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.63 : 17,049.38 = 6,765.63 : x
  2. Step 2: Convert to fraction form
    12,354.63/17,049.38 = 6,765.63/x
  3. Step 3: Cross multiply
    12,354.63x = 17,049.38 × 6,765.63
  4. Step 4: Simplify right side
    12,354.63x = 115,349,796.81
  5. Step 5: Solve for x
    x = 115,349,796.81/12,354.63
  6. Step 6: Final answer
    x = 9,336.56

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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.