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Finding the Fourth Proportional to 11,220.17, 16,817.49 and 6,827.94

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Solution

The fourth proportional to 11,220.17, 16,817.49 and 6,827.94 is: 10,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.17 : 16,817.49 = 6,827.94 : x
  2. Step 2: Convert to fraction form
    11,220.17/16,817.49 = 6,827.94/x
  3. Step 3: Cross multiply
    11,220.17x = 16,817.49 × 6,827.94
  4. Step 4: Simplify right side
    11,220.17x = 114,828,812.67
  5. Step 5: Solve for x
    x = 114,828,812.67/11,220.17
  6. Step 6: Final answer
    x = 10,234.15

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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.