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Finding the Fourth Proportional to 27,814.50, 41,704.90 and 10,927.28

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Solution

The fourth proportional to 27,814.50, 41,704.90 and 10,927.28 is: 16,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.50 : 41,704.90 = 10,927.28 : x
  2. Step 2: Convert to fraction form
    27,814.50/41,704.90 = 10,927.28/x
  3. Step 3: Cross multiply
    27,814.50x = 41,704.90 × 10,927.28
  4. Step 4: Simplify right side
    27,814.50x = 455,721,196.62
  5. Step 5: Solve for x
    x = 455,721,196.62/27,814.50
  6. Step 6: Final answer
    x = 16,384.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.