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Finding the Fourth Proportional to 16,057.53, 22,160.52 and 8,984.61

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Solution

The fourth proportional to 16,057.53, 22,160.52 and 8,984.61 is: 12,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.53 : 22,160.52 = 8,984.61 : x
  2. Step 2: Convert to fraction form
    16,057.53/22,160.52 = 8,984.61/x
  3. Step 3: Cross multiply
    16,057.53x = 22,160.52 × 8,984.61
  4. Step 4: Simplify right side
    16,057.53x = 199,103,629.60
  5. Step 5: Solve for x
    x = 199,103,629.60/16,057.53
  6. Step 6: Final answer
    x = 12,399.39

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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.