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Finding the Fourth Proportional to 12,155.82, 18,267.93 and 7,226.34

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Solution

The fourth proportional to 12,155.82, 18,267.93 and 7,226.34 is: 10,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.82 : 18,267.93 = 7,226.34 : x
  2. Step 2: Convert to fraction form
    12,155.82/18,267.93 = 7,226.34/x
  3. Step 3: Cross multiply
    12,155.82x = 18,267.93 × 7,226.34
  4. Step 4: Simplify right side
    12,155.82x = 132,010,273.28
  5. Step 5: Solve for x
    x = 132,010,273.28/12,155.82
  6. Step 6: Final answer
    x = 10,859.84

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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.