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Finding the Fourth Proportional to 12,594.75, 18,892.91 and 3,830.31

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Solution

The fourth proportional to 12,594.75, 18,892.91 and 3,830.31 is: 5,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.75 : 18,892.91 = 3,830.31 : x
  2. Step 2: Convert to fraction form
    12,594.75/18,892.91 = 3,830.31/x
  3. Step 3: Cross multiply
    12,594.75x = 18,892.91 × 3,830.31
  4. Step 4: Simplify right side
    12,594.75x = 72,365,682.95
  5. Step 5: Solve for x
    x = 72,365,682.95/12,594.75
  6. Step 6: Final answer
    x = 5,745.70

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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.