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Finding the Fourth Proportional to 16,043.43, 22,140 and 8,969.84

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Solution

The fourth proportional to 16,043.43, 22,140 and 8,969.84 is: 12,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.43 : 22,140 = 8,969.84 : x
  2. Step 2: Convert to fraction form
    16,043.43/22,140 = 8,969.84/x
  3. Step 3: Cross multiply
    16,043.43x = 22,140 × 8,969.84
  4. Step 4: Simplify right side
    16,043.43x = 198,592,229.93
  5. Step 5: Solve for x
    x = 198,592,229.93/16,043.43
  6. Step 6: Final answer
    x = 12,378.41

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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.