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Finding the Fourth Proportional to 17,880.78, 24,680.02 and 12,217.82

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Solution

The fourth proportional to 17,880.78, 24,680.02 and 12,217.82 is: 16,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.78 : 24,680.02 = 12,217.82 : x
  2. Step 2: Convert to fraction form
    17,880.78/24,680.02 = 12,217.82/x
  3. Step 3: Cross multiply
    17,880.78x = 24,680.02 × 12,217.82
  4. Step 4: Simplify right side
    17,880.78x = 301,536,015.38
  5. Step 5: Solve for x
    x = 301,536,015.38/17,880.78
  6. Step 6: Final answer
    x = 16,863.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.