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Finding the Fourth Proportional to 11,418.84, 17,166.85 and 9,224.78

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Solution

The fourth proportional to 11,418.84, 17,166.85 and 9,224.78 is: 13,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.84 : 17,166.85 = 9,224.78 : x
  2. Step 2: Convert to fraction form
    11,418.84/17,166.85 = 9,224.78/x
  3. Step 3: Cross multiply
    11,418.84x = 17,166.85 × 9,224.78
  4. Step 4: Simplify right side
    11,418.84x = 158,360,305.65
  5. Step 5: Solve for x
    x = 158,360,305.65/11,418.84
  6. Step 6: Final answer
    x = 13,868.34

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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.