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Finding the Fourth Proportional to 12,082.32, 18,124.32 and 3,316.32

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Solution

The fourth proportional to 12,082.32, 18,124.32 and 3,316.32 is: 4,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.32 : 18,124.32 = 3,316.32 : x
  2. Step 2: Convert to fraction form
    12,082.32/18,124.32 = 3,316.32/x
  3. Step 3: Cross multiply
    12,082.32x = 18,124.32 × 3,316.32
  4. Step 4: Simplify right side
    12,082.32x = 60,106,044.90
  5. Step 5: Solve for x
    x = 60,106,044.90/12,082.32
  6. Step 6: Final answer
    x = 4,974.71

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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.