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Finding the Fourth Proportional to 27,887.20, 41,830.80 and 16,223.20

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Solution

The fourth proportional to 27,887.20, 41,830.80 and 16,223.20 is: 24,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.20 : 41,830.80 = 16,223.20 : x
  2. Step 2: Convert to fraction form
    27,887.20/41,830.80 = 16,223.20/x
  3. Step 3: Cross multiply
    27,887.20x = 41,830.80 × 16,223.20
  4. Step 4: Simplify right side
    27,887.20x = 678,629,434.56
  5. Step 5: Solve for x
    x = 678,629,434.56/27,887.20
  6. Step 6: Final answer
    x = 24,334.80

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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.