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Finding the Fourth Proportional to 18,432.41, 27,648.64 and 4,581.41

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Solution

The fourth proportional to 18,432.41, 27,648.64 and 4,581.41 is: 6,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.41 : 27,648.64 = 4,581.41 : x
  2. Step 2: Convert to fraction form
    18,432.41/27,648.64 = 4,581.41/x
  3. Step 3: Cross multiply
    18,432.41x = 27,648.64 × 4,581.41
  4. Step 4: Simplify right side
    18,432.41x = 126,669,813.45
  5. Step 5: Solve for x
    x = 126,669,813.45/18,432.41
  6. Step 6: Final answer
    x = 6,872.12

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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.