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Finding the Fourth Proportional to 12,322.32, 18,485.30 and 3,557.31

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Solution

The fourth proportional to 12,322.32, 18,485.30 and 3,557.31 is: 5,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.32 : 18,485.30 = 3,557.31 : x
  2. Step 2: Convert to fraction form
    12,322.32/18,485.30 = 3,557.31/x
  3. Step 3: Cross multiply
    12,322.32x = 18,485.30 × 3,557.31
  4. Step 4: Simplify right side
    12,322.32x = 65,757,942.54
  5. Step 5: Solve for x
    x = 65,757,942.54/12,322.32
  6. Step 6: Final answer
    x = 5,336.49

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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.