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Finding the Fourth Proportional to 14,269.78, 19,692.30 and 7,982.16

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Solution

The fourth proportional to 14,269.78, 19,692.30 and 7,982.16 is: 11,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.78 : 19,692.30 = 7,982.16 : x
  2. Step 2: Convert to fraction form
    14,269.78/19,692.30 = 7,982.16/x
  3. Step 3: Cross multiply
    14,269.78x = 19,692.30 × 7,982.16
  4. Step 4: Simplify right side
    14,269.78x = 157,187,000.56
  5. Step 5: Solve for x
    x = 157,187,000.56/14,269.78
  6. Step 6: Final answer
    x = 11,015.38

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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.