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Finding the Fourth Proportional to 14,362.72, 21,524.94 and 6,952.43

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Solution

The fourth proportional to 14,362.72, 21,524.94 and 6,952.43 is: 10,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.72 : 21,524.94 = 6,952.43 : x
  2. Step 2: Convert to fraction form
    14,362.72/21,524.94 = 6,952.43/x
  3. Step 3: Cross multiply
    14,362.72x = 21,524.94 × 6,952.43
  4. Step 4: Simplify right side
    14,362.72x = 149,650,692.42
  5. Step 5: Solve for x
    x = 149,650,692.42/14,362.72
  6. Step 6: Final answer
    x = 10,419.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.