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Finding the Fourth Proportional to 16,089.26, 22,205.22 and 9,375.20

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Solution

The fourth proportional to 16,089.26, 22,205.22 and 9,375.20 is: 12,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.26 : 22,205.22 = 9,375.20 : x
  2. Step 2: Convert to fraction form
    16,089.26/22,205.22 = 9,375.20/x
  3. Step 3: Cross multiply
    16,089.26x = 22,205.22 × 9,375.20
  4. Step 4: Simplify right side
    16,089.26x = 208,178,378.54
  5. Step 5: Solve for x
    x = 208,178,378.54/16,089.26
  6. Step 6: Final answer
    x = 12,938.97

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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.