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Finding the Fourth Proportional to 12,226.76, 18,341.58 and 3,907.24

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Solution

The fourth proportional to 12,226.76, 18,341.58 and 3,907.24 is: 5,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.76 : 18,341.58 = 3,907.24 : x
  2. Step 2: Convert to fraction form
    12,226.76/18,341.58 = 3,907.24/x
  3. Step 3: Cross multiply
    12,226.76x = 18,341.58 × 3,907.24
  4. Step 4: Simplify right side
    12,226.76x = 71,664,955.04
  5. Step 5: Solve for x
    x = 71,664,955.04/12,226.76
  6. Step 6: Final answer
    x = 5,861.32

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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.