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Finding the Fourth Proportional to 20,281.30, 27,991.41 and 11,897.80

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Solution

The fourth proportional to 20,281.30, 27,991.41 and 11,897.80 is: 16,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.30 : 27,991.41 = 11,897.80 : x
  2. Step 2: Convert to fraction form
    20,281.30/27,991.41 = 11,897.80/x
  3. Step 3: Cross multiply
    20,281.30x = 27,991.41 × 11,897.80
  4. Step 4: Simplify right side
    20,281.30x = 333,036,197.90
  5. Step 5: Solve for x
    x = 333,036,197.90/20,281.30
  6. Step 6: Final answer
    x = 16,420.85

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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.