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Finding the Fourth Proportional to 12,255.84, 18,377.04 and 5,678.40

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Solution

The fourth proportional to 12,255.84, 18,377.04 and 5,678.40 is: 8,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.84 : 18,377.04 = 5,678.40 : x
  2. Step 2: Convert to fraction form
    12,255.84/18,377.04 = 5,678.40/x
  3. Step 3: Cross multiply
    12,255.84x = 18,377.04 × 5,678.40
  4. Step 4: Simplify right side
    12,255.84x = 104,352,183.94
  5. Step 5: Solve for x
    x = 104,352,183.94/12,255.84
  6. Step 6: Final answer
    x = 8,514.49

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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.