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Finding the Fourth Proportional to 14,545.38, 20,072.07 and 8,889.59

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Solution

The fourth proportional to 14,545.38, 20,072.07 and 8,889.59 is: 12,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.38 : 20,072.07 = 8,889.59 : x
  2. Step 2: Convert to fraction form
    14,545.38/20,072.07 = 8,889.59/x
  3. Step 3: Cross multiply
    14,545.38x = 20,072.07 × 8,889.59
  4. Step 4: Simplify right side
    14,545.38x = 178,432,472.75
  5. Step 5: Solve for x
    x = 178,432,472.75/14,545.38
  6. Step 6: Final answer
    x = 12,267.30

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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.