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Finding the Fourth Proportional to 16,421.38, 22,661.50 and 8,969.38

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Solution

The fourth proportional to 16,421.38, 22,661.50 and 8,969.38 is: 12,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.38 : 22,661.50 = 8,969.38 : x
  2. Step 2: Convert to fraction form
    16,421.38/22,661.50 = 8,969.38/x
  3. Step 3: Cross multiply
    16,421.38x = 22,661.50 × 8,969.38
  4. Step 4: Simplify right side
    16,421.38x = 203,259,491.56
  5. Step 5: Solve for x
    x = 203,259,491.56/16,421.38
  6. Step 6: Final answer
    x = 12,377.74

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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.