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Finding the Fourth Proportional to 16,205.43, 24,319.08 and 6,343.47

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Solution

The fourth proportional to 16,205.43, 24,319.08 and 6,343.47 is: 9,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.43 : 24,319.08 = 6,343.47 : x
  2. Step 2: Convert to fraction form
    16,205.43/24,319.08 = 6,343.47/x
  3. Step 3: Cross multiply
    16,205.43x = 24,319.08 × 6,343.47
  4. Step 4: Simplify right side
    16,205.43x = 154,267,354.41
  5. Step 5: Solve for x
    x = 154,267,354.41/16,205.43
  6. Step 6: Final answer
    x = 9,519.49

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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.