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Finding the Fourth Proportional to 23,752.67, 35,624.13 and 13,884.44

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Solution

The fourth proportional to 23,752.67, 35,624.13 and 13,884.44 is: 20,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.67 : 35,624.13 = 13,884.44 : x
  2. Step 2: Convert to fraction form
    23,752.67/35,624.13 = 13,884.44/x
  3. Step 3: Cross multiply
    23,752.67x = 35,624.13 × 13,884.44
  4. Step 4: Simplify right side
    23,752.67x = 494,620,917.42
  5. Step 5: Solve for x
    x = 494,620,917.42/23,752.67
  6. Step 6: Final answer
    x = 20,823.81

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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.