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Finding the Fourth Proportional to 24,074.30, 33,224.22 and 13,464.92

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Solution

The fourth proportional to 24,074.30, 33,224.22 and 13,464.92 is: 18,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.30 : 33,224.22 = 13,464.92 : x
  2. Step 2: Convert to fraction form
    24,074.30/33,224.22 = 13,464.92/x
  3. Step 3: Cross multiply
    24,074.30x = 33,224.22 × 13,464.92
  4. Step 4: Simplify right side
    24,074.30x = 447,361,298.24
  5. Step 5: Solve for x
    x = 447,361,298.24/24,074.30
  6. Step 6: Final answer
    x = 18,582.53

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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.