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Finding the Fourth Proportional to 23,884.86, 35,769 and 20,618.94

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Solution

The fourth proportional to 23,884.86, 35,769 and 20,618.94 is: 30,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.86 : 35,769 = 20,618.94 : x
  2. Step 2: Convert to fraction form
    23,884.86/35,769 = 20,618.94/x
  3. Step 3: Cross multiply
    23,884.86x = 35,769 × 20,618.94
  4. Step 4: Simplify right side
    23,884.86x = 737,518,864.86
  5. Step 5: Solve for x
    x = 737,518,864.86/23,884.86
  6. Step 6: Final answer
    x = 30,878.09

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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.