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Finding the Fourth Proportional to 20,096.16, 27,726.48 and 11,706.72

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Solution

The fourth proportional to 20,096.16, 27,726.48 and 11,706.72 is: 16,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.16 : 27,726.48 = 11,706.72 : x
  2. Step 2: Convert to fraction form
    20,096.16/27,726.48 = 11,706.72/x
  3. Step 3: Cross multiply
    20,096.16x = 27,726.48 × 11,706.72
  4. Step 4: Simplify right side
    20,096.16x = 324,586,137.95
  5. Step 5: Solve for x
    x = 324,586,137.95/20,096.16
  6. Step 6: Final answer
    x = 16,151.65

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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.