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Finding the Fourth Proportional to 23,824.94, 32,878.41 and 13,214.54

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Solution

The fourth proportional to 23,824.94, 32,878.41 and 13,214.54 is: 18,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.94 : 32,878.41 = 13,214.54 : x
  2. Step 2: Convert to fraction form
    23,824.94/32,878.41 = 13,214.54/x
  3. Step 3: Cross multiply
    23,824.94x = 32,878.41 × 13,214.54
  4. Step 4: Simplify right side
    23,824.94x = 434,473,064.08
  5. Step 5: Solve for x
    x = 434,473,064.08/23,824.94
  6. Step 6: Final answer
    x = 18,236.06

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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.