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Finding the Fourth Proportional to 12,329.56, 18,496.74 and 5,404

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Solution

The fourth proportional to 12,329.56, 18,496.74 and 5,404 is: 8,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.56 : 18,496.74 = 5,404 : x
  2. Step 2: Convert to fraction form
    12,329.56/18,496.74 = 5,404/x
  3. Step 3: Cross multiply
    12,329.56x = 18,496.74 × 5,404
  4. Step 4: Simplify right side
    12,329.56x = 99,956,382.96
  5. Step 5: Solve for x
    x = 99,956,382.96/12,329.56
  6. Step 6: Final answer
    x = 8,107.05

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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.