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Finding the Fourth Proportional to 12,600.40, 18,902.64 and 3,833.25

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Solution

The fourth proportional to 12,600.40, 18,902.64 and 3,833.25 is: 5,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.40 : 18,902.64 = 3,833.25 : x
  2. Step 2: Convert to fraction form
    12,600.40/18,902.64 = 3,833.25/x
  3. Step 3: Cross multiply
    12,600.40x = 18,902.64 × 3,833.25
  4. Step 4: Simplify right side
    12,600.40x = 72,458,525.61
  5. Step 5: Solve for x
    x = 72,458,525.61/12,600.40
  6. Step 6: Final answer
    x = 5,750.49

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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.