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Finding the Fourth Proportional to 12,546.52, 18,820.69 and 3,782.12

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Solution

The fourth proportional to 12,546.52, 18,820.69 and 3,782.12 is: 5,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.52 : 18,820.69 = 3,782.12 : x
  2. Step 2: Convert to fraction form
    12,546.52/18,820.69 = 3,782.12/x
  3. Step 3: Cross multiply
    12,546.52x = 18,820.69 × 3,782.12
  4. Step 4: Simplify right side
    12,546.52x = 71,182,004.50
  5. Step 5: Solve for x
    x = 71,182,004.50/12,546.52
  6. Step 6: Final answer
    x = 5,673.45

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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.