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Finding the Fourth Proportional to 14,268.94, 19,692.61 and 8,219.39

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Solution

The fourth proportional to 14,268.94, 19,692.61 and 8,219.39 is: 11,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.94 : 19,692.61 = 8,219.39 : x
  2. Step 2: Convert to fraction form
    14,268.94/19,692.61 = 8,219.39/x
  3. Step 3: Cross multiply
    14,268.94x = 19,692.61 × 8,219.39
  4. Step 4: Simplify right side
    14,268.94x = 161,861,122.70
  5. Step 5: Solve for x
    x = 161,861,122.70/14,268.94
  6. Step 6: Final answer
    x = 11,343.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.