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Finding the Fourth Proportional to 27,281.24, 40,879.90 and 16,165.80

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Solution

The fourth proportional to 27,281.24, 40,879.90 and 16,165.80 is: 24,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.24 : 40,879.90 = 16,165.80 : x
  2. Step 2: Convert to fraction form
    27,281.24/40,879.90 = 16,165.80/x
  3. Step 3: Cross multiply
    27,281.24x = 40,879.90 × 16,165.80
  4. Step 4: Simplify right side
    27,281.24x = 660,856,287.42
  5. Step 5: Solve for x
    x = 660,856,287.42/27,281.24
  6. Step 6: Final answer
    x = 24,223.84

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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.