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Finding the Fourth Proportional to 14,699.70, 20,285.49 and 8,411.94

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Solution

The fourth proportional to 14,699.70, 20,285.49 and 8,411.94 is: 11,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.70 : 20,285.49 = 8,411.94 : x
  2. Step 2: Convert to fraction form
    14,699.70/20,285.49 = 8,411.94/x
  3. Step 3: Cross multiply
    14,699.70x = 20,285.49 × 8,411.94
  4. Step 4: Simplify right side
    14,699.70x = 170,640,324.75
  5. Step 5: Solve for x
    x = 170,640,324.75/14,699.70
  6. Step 6: Final answer
    x = 11,608.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.