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Finding the Fourth Proportional to 24,556.86, 36,857.15 and 11,416.64

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Solution

The fourth proportional to 24,556.86, 36,857.15 and 11,416.64 is: 17,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556.86 : 36,857.15 = 11,416.64 : x
  2. Step 2: Convert to fraction form
    24,556.86/36,857.15 = 11,416.64/x
  3. Step 3: Cross multiply
    24,556.86x = 36,857.15 × 11,416.64
  4. Step 4: Simplify right side
    24,556.86x = 420,784,571.61
  5. Step 5: Solve for x
    x = 420,784,571.61/24,556.86
  6. Step 6: Final answer
    x = 17,135.11

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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.