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Finding the Fourth Proportional to 28,612.56, 42,884.28 and 12,162

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Solution

The fourth proportional to 28,612.56, 42,884.28 and 12,162 is: 18,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,612.56 : 42,884.28 = 12,162 : x
  2. Step 2: Convert to fraction form
    28,612.56/42,884.28 = 12,162/x
  3. Step 3: Cross multiply
    28,612.56x = 42,884.28 × 12,162
  4. Step 4: Simplify right side
    28,612.56x = 521,558,613.36
  5. Step 5: Solve for x
    x = 521,558,613.36/28,612.56
  6. Step 6: Final answer
    x = 18,228.31

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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.