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Finding the Fourth Proportional to 12,394.98, 18,594.77 and 4,077.41

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Solution

The fourth proportional to 12,394.98, 18,594.77 and 4,077.41 is: 6,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.98 : 18,594.77 = 4,077.41 : x
  2. Step 2: Convert to fraction form
    12,394.98/18,594.77 = 4,077.41/x
  3. Step 3: Cross multiply
    12,394.98x = 18,594.77 × 4,077.41
  4. Step 4: Simplify right side
    12,394.98x = 75,818,387.78
  5. Step 5: Solve for x
    x = 75,818,387.78/12,394.98
  6. Step 6: Final answer
    x = 6,116.86

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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.