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Finding the Fourth Proportional to 16,212.84, 22,372.38 and 9,141

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Solution

The fourth proportional to 16,212.84, 22,372.38 and 9,141 is: 12,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.84 : 22,372.38 = 9,141 : x
  2. Step 2: Convert to fraction form
    16,212.84/22,372.38 = 9,141/x
  3. Step 3: Cross multiply
    16,212.84x = 22,372.38 × 9,141
  4. Step 4: Simplify right side
    16,212.84x = 204,505,925.58
  5. Step 5: Solve for x
    x = 204,505,925.58/16,212.84
  6. Step 6: Final answer
    x = 12,613.82

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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.