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Finding the Fourth Proportional to 16,963.92, 25,461.54 and 12,225

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Solution

The fourth proportional to 16,963.92, 25,461.54 and 12,225 is: 18,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.92 : 25,461.54 = 12,225 : x
  2. Step 2: Convert to fraction form
    16,963.92/25,461.54 = 12,225/x
  3. Step 3: Cross multiply
    16,963.92x = 25,461.54 × 12,225
  4. Step 4: Simplify right side
    16,963.92x = 311,267,326.50
  5. Step 5: Solve for x
    x = 311,267,326.50/16,963.92
  6. Step 6: Final answer
    x = 18,348.79

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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.