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Finding the Fourth Proportional to 12,137.98, 18,209.40 and 4,345.78

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Solution

The fourth proportional to 12,137.98, 18,209.40 and 4,345.78 is: 6,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.98 : 18,209.40 = 4,345.78 : x
  2. Step 2: Convert to fraction form
    12,137.98/18,209.40 = 4,345.78/x
  3. Step 3: Cross multiply
    12,137.98x = 18,209.40 × 4,345.78
  4. Step 4: Simplify right side
    12,137.98x = 79,134,046.33
  5. Step 5: Solve for x
    x = 79,134,046.33/12,137.98
  6. Step 6: Final answer
    x = 6,519.54

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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.