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Finding the Fourth Proportional to 12,584.42, 18,876.51 and 3,350.42

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Solution

The fourth proportional to 12,584.42, 18,876.51 and 3,350.42 is: 5,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.42 : 18,876.51 = 3,350.42 : x
  2. Step 2: Convert to fraction form
    12,584.42/18,876.51 = 3,350.42/x
  3. Step 3: Cross multiply
    12,584.42x = 18,876.51 × 3,350.42
  4. Step 4: Simplify right side
    12,584.42x = 63,244,236.63
  5. Step 5: Solve for x
    x = 63,244,236.63/12,584.42
  6. Step 6: Final answer
    x = 5,025.60

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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.