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Finding the Fourth Proportional to 12,154.80, 18,226.92 and 5,137.94

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Solution

The fourth proportional to 12,154.80, 18,226.92 and 5,137.94 is: 7,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.80 : 18,226.92 = 5,137.94 : x
  2. Step 2: Convert to fraction form
    12,154.80/18,226.92 = 5,137.94/x
  3. Step 3: Cross multiply
    12,154.80x = 18,226.92 × 5,137.94
  4. Step 4: Simplify right side
    12,154.80x = 93,648,821.34
  5. Step 5: Solve for x
    x = 93,648,821.34/12,154.80
  6. Step 6: Final answer
    x = 7,704.68

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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.