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Finding the Fourth Proportional to 14,958.38, 20,642.43 and 8,243.84

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Solution

The fourth proportional to 14,958.38, 20,642.43 and 8,243.84 is: 11,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,958.38 : 20,642.43 = 8,243.84 : x
  2. Step 2: Convert to fraction form
    14,958.38/20,642.43 = 8,243.84/x
  3. Step 3: Cross multiply
    14,958.38x = 20,642.43 × 8,243.84
  4. Step 4: Simplify right side
    14,958.38x = 170,172,890.13
  5. Step 5: Solve for x
    x = 170,172,890.13/14,958.38
  6. Step 6: Final answer
    x = 11,376.43

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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.