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Finding the Fourth Proportional to 16,172.64, 24,272 and 8,383.68

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Solution

The fourth proportional to 16,172.64, 24,272 and 8,383.68 is: 12,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.64 : 24,272 = 8,383.68 : x
  2. Step 2: Convert to fraction form
    16,172.64/24,272 = 8,383.68/x
  3. Step 3: Cross multiply
    16,172.64x = 24,272 × 8,383.68
  4. Step 4: Simplify right side
    16,172.64x = 203,488,680.96
  5. Step 5: Solve for x
    x = 203,488,680.96/16,172.64
  6. Step 6: Final answer
    x = 12,582.28

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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.