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Finding the Fourth Proportional to 20,213.50, 27,897.06 and 11,830

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Solution

The fourth proportional to 20,213.50, 27,897.06 and 11,830 is: 16,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.50 : 27,897.06 = 11,830 : x
  2. Step 2: Convert to fraction form
    20,213.50/27,897.06 = 11,830/x
  3. Step 3: Cross multiply
    20,213.50x = 27,897.06 × 11,830
  4. Step 4: Simplify right side
    20,213.50x = 330,022,219.80
  5. Step 5: Solve for x
    x = 330,022,219.80/20,213.50
  6. Step 6: Final answer
    x = 16,326.82

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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.