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Finding the Fourth Proportional to 14,446.67, 21,672.98 and 6,545.39

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Solution

The fourth proportional to 14,446.67, 21,672.98 and 6,545.39 is: 9,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.67 : 21,672.98 = 6,545.39 : x
  2. Step 2: Convert to fraction form
    14,446.67/21,672.98 = 6,545.39/x
  3. Step 3: Cross multiply
    14,446.67x = 21,672.98 × 6,545.39
  4. Step 4: Simplify right side
    14,446.67x = 141,858,073.84
  5. Step 5: Solve for x
    x = 141,858,073.84/14,446.67
  6. Step 6: Final answer
    x = 9,819.43

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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.