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Finding the Fourth Proportional to 24,074.96, 33,224.22 and 13,464.58

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Solution

The fourth proportional to 24,074.96, 33,224.22 and 13,464.58 is: 18,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.96 : 33,224.22 = 13,464.58 : x
  2. Step 2: Convert to fraction form
    24,074.96/33,224.22 = 13,464.58/x
  3. Step 3: Cross multiply
    24,074.96x = 33,224.22 × 13,464.58
  4. Step 4: Simplify right side
    24,074.96x = 447,350,168.13
  5. Step 5: Solve for x
    x = 447,350,168.13/24,074.96
  6. Step 6: Final answer
    x = 18,581.55

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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.