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Finding the Fourth Proportional to 14,584.73, 21,898.96 and 8,351.78

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Solution

The fourth proportional to 14,584.73, 21,898.96 and 8,351.78 is: 12,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.73 : 21,898.96 = 8,351.78 : x
  2. Step 2: Convert to fraction form
    14,584.73/21,898.96 = 8,351.78/x
  3. Step 3: Cross multiply
    14,584.73x = 21,898.96 × 8,351.78
  4. Step 4: Simplify right side
    14,584.73x = 182,895,165.77
  5. Step 5: Solve for x
    x = 182,895,165.77/14,584.73
  6. Step 6: Final answer
    x = 12,540.19

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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.