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Finding the Fourth Proportional to 16,209.66, 24,272.37 and 13,884.60

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Solution

The fourth proportional to 16,209.66, 24,272.37 and 13,884.60 is: 20,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.66 : 24,272.37 = 13,884.60 : x
  2. Step 2: Convert to fraction form
    16,209.66/24,272.37 = 13,884.60/x
  3. Step 3: Cross multiply
    16,209.66x = 24,272.37 × 13,884.60
  4. Step 4: Simplify right side
    16,209.66x = 337,012,148.50
  5. Step 5: Solve for x
    x = 337,012,148.50/16,209.66
  6. Step 6: Final answer
    x = 20,790.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.