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Finding the Fourth Proportional to 14,545.39, 20,072.09 and 8,889.61

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Solution

The fourth proportional to 14,545.39, 20,072.09 and 8,889.61 is: 12,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.39 : 20,072.09 = 8,889.61 : x
  2. Step 2: Convert to fraction form
    14,545.39/20,072.09 = 8,889.61/x
  3. Step 3: Cross multiply
    14,545.39x = 20,072.09 × 8,889.61
  4. Step 4: Simplify right side
    14,545.39x = 178,432,951.62
  5. Step 5: Solve for x
    x = 178,432,951.62/14,545.39
  6. Step 6: Final answer
    x = 12,267.32

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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.