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Finding the Fourth Proportional to 23,878.57, 32,950.97 and 13,267.84

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Solution

The fourth proportional to 23,878.57, 32,950.97 and 13,267.84 is: 18,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.57 : 32,950.97 = 13,267.84 : x
  2. Step 2: Convert to fraction form
    23,878.57/32,950.97 = 13,267.84/x
  3. Step 3: Cross multiply
    23,878.57x = 32,950.97 × 13,267.84
  4. Step 4: Simplify right side
    23,878.57x = 437,188,033.05
  5. Step 5: Solve for x
    x = 437,188,033.05/23,878.57
  6. Step 6: Final answer
    x = 18,308.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.