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Finding the Fourth Proportional to 20,147.49, 27,801.91 and 11,650.16

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Solution

The fourth proportional to 20,147.49, 27,801.91 and 11,650.16 is: 16,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.49 : 27,801.91 = 11,650.16 : x
  2. Step 2: Convert to fraction form
    20,147.49/27,801.91 = 11,650.16/x
  3. Step 3: Cross multiply
    20,147.49x = 27,801.91 × 11,650.16
  4. Step 4: Simplify right side
    20,147.49x = 323,896,718.34
  5. Step 5: Solve for x
    x = 323,896,718.34/20,147.49
  6. Step 6: Final answer
    x = 16,076.28

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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.