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Finding the Fourth Proportional to 12,546.42, 18,820.02 and 4,650.91

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Solution

The fourth proportional to 12,546.42, 18,820.02 and 4,650.91 is: 6,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.42 : 18,820.02 = 4,650.91 : x
  2. Step 2: Convert to fraction form
    12,546.42/18,820.02 = 4,650.91/x
  3. Step 3: Cross multiply
    12,546.42x = 18,820.02 × 4,650.91
  4. Step 4: Simplify right side
    12,546.42x = 87,530,219.22
  5. Step 5: Solve for x
    x = 87,530,219.22/12,546.42
  6. Step 6: Final answer
    x = 6,976.51

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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.