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Finding the Fourth Proportional to 16,662.30, 22,962.34 and 11,938.38

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Solution

The fourth proportional to 16,662.30, 22,962.34 and 11,938.38 is: 16,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.30 : 22,962.34 = 11,938.38 : x
  2. Step 2: Convert to fraction form
    16,662.30/22,962.34 = 11,938.38/x
  3. Step 3: Cross multiply
    16,662.30x = 22,962.34 × 11,938.38
  4. Step 4: Simplify right side
    16,662.30x = 274,133,140.61
  5. Step 5: Solve for x
    x = 274,133,140.61/16,662.30
  6. Step 6: Final answer
    x = 16,452.30

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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.