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Finding the Fourth Proportional to 12,257.40, 18,379.86 and 6,017.88

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Solution

The fourth proportional to 12,257.40, 18,379.86 and 6,017.88 is: 9,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.40 : 18,379.86 = 6,017.88 : x
  2. Step 2: Convert to fraction form
    12,257.40/18,379.86 = 6,017.88/x
  3. Step 3: Cross multiply
    12,257.40x = 18,379.86 × 6,017.88
  4. Step 4: Simplify right side
    12,257.40x = 110,607,791.90
  5. Step 5: Solve for x
    x = 110,607,791.90/12,257.40
  6. Step 6: Final answer
    x = 9,023.76

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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.