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Finding the Fourth Proportional to 12,369.36, 18,558.90 and 5,439

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Solution

The fourth proportional to 12,369.36, 18,558.90 and 5,439 is: 8,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.36 : 18,558.90 = 5,439 : x
  2. Step 2: Convert to fraction form
    12,369.36/18,558.90 = 5,439/x
  3. Step 3: Cross multiply
    12,369.36x = 18,558.90 × 5,439
  4. Step 4: Simplify right side
    12,369.36x = 100,941,857.10
  5. Step 5: Solve for x
    x = 100,941,857.10/12,369.36
  6. Step 6: Final answer
    x = 8,160.64

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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.