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Finding the Fourth Proportional to 14,586.96, 21,906.78 and 13,414.80

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Solution

The fourth proportional to 14,586.96, 21,906.78 and 13,414.80 is: 20,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.96 : 21,906.78 = 13,414.80 : x
  2. Step 2: Convert to fraction form
    14,586.96/21,906.78 = 13,414.80/x
  3. Step 3: Cross multiply
    14,586.96x = 21,906.78 × 13,414.80
  4. Step 4: Simplify right side
    14,586.96x = 293,875,072.34
  5. Step 5: Solve for x
    x = 293,875,072.34/14,586.96
  6. Step 6: Final answer
    x = 20,146.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.