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Finding the Fourth Proportional to 12,200.52, 18,303.03 and 3,882.63

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Solution

The fourth proportional to 12,200.52, 18,303.03 and 3,882.63 is: 5,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.52 : 18,303.03 = 3,882.63 : x
  2. Step 2: Convert to fraction form
    12,200.52/18,303.03 = 3,882.63/x
  3. Step 3: Cross multiply
    12,200.52x = 18,303.03 × 3,882.63
  4. Step 4: Simplify right side
    12,200.52x = 71,063,893.37
  5. Step 5: Solve for x
    x = 71,063,893.37/12,200.52
  6. Step 6: Final answer
    x = 5,824.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.