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Finding the Fourth Proportional to 12,594.96, 18,893.50 and 3,829.95

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Solution

The fourth proportional to 12,594.96, 18,893.50 and 3,829.95 is: 5,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.96 : 18,893.50 = 3,829.95 : x
  2. Step 2: Convert to fraction form
    12,594.96/18,893.50 = 3,829.95/x
  3. Step 3: Cross multiply
    12,594.96x = 18,893.50 × 3,829.95
  4. Step 4: Simplify right side
    12,594.96x = 72,361,160.33
  5. Step 5: Solve for x
    x = 72,361,160.33/12,594.96
  6. Step 6: Final answer
    x = 5,745.25

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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.