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Finding the Fourth Proportional to 21,350, 29,463.80 and 11,920.38

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Solution

The fourth proportional to 21,350, 29,463.80 and 11,920.38 is: 16,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350 : 29,463.80 = 11,920.38 : x
  2. Step 2: Convert to fraction form
    21,350/29,463.80 = 11,920.38/x
  3. Step 3: Cross multiply
    21,350x = 29,463.80 × 11,920.38
  4. Step 4: Simplify right side
    21,350x = 351,219,692.24
  5. Step 5: Solve for x
    x = 351,219,692.24/21,350
  6. Step 6: Final answer
    x = 16,450.57

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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.