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Finding the Fourth Proportional to 20,128.16, 27,777.66 and 11,630

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Solution

The fourth proportional to 20,128.16, 27,777.66 and 11,630 is: 16,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.16 : 27,777.66 = 11,630 : x
  2. Step 2: Convert to fraction form
    20,128.16/27,777.66 = 11,630/x
  3. Step 3: Cross multiply
    20,128.16x = 27,777.66 × 11,630
  4. Step 4: Simplify right side
    20,128.16x = 323,054,185.80
  5. Step 5: Solve for x
    x = 323,054,185.80/20,128.16
  6. Step 6: Final answer
    x = 16,049.86

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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.