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Finding the Fourth Proportional to 11,644.43, 17,435.49 and 10,156.66

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Solution

The fourth proportional to 11,644.43, 17,435.49 and 10,156.66 is: 15,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.43 : 17,435.49 = 10,156.66 : x
  2. Step 2: Convert to fraction form
    11,644.43/17,435.49 = 10,156.66/x
  3. Step 3: Cross multiply
    11,644.43x = 17,435.49 × 10,156.66
  4. Step 4: Simplify right side
    11,644.43x = 177,086,262.19
  5. Step 5: Solve for x
    x = 177,086,262.19/11,644.43
  6. Step 6: Final answer
    x = 15,207.82

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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.