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Finding the Fourth Proportional to 12,257.84, 18,380.04 and 5,680.40

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Solution

The fourth proportional to 12,257.84, 18,380.04 and 5,680.40 is: 8,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.84 : 18,380.04 = 5,680.40 : x
  2. Step 2: Convert to fraction form
    12,257.84/18,380.04 = 5,680.40/x
  3. Step 3: Cross multiply
    12,257.84x = 18,380.04 × 5,680.40
  4. Step 4: Simplify right side
    12,257.84x = 104,405,979.22
  5. Step 5: Solve for x
    x = 104,405,979.22/12,257.84
  6. Step 6: Final answer
    x = 8,517.49

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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.