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Finding the Fourth Proportional to 24,372.56, 33,633.20 and 13,618

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Solution

The fourth proportional to 24,372.56, 33,633.20 and 13,618 is: 18,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.56 : 33,633.20 = 13,618 : x
  2. Step 2: Convert to fraction form
    24,372.56/33,633.20 = 13,618/x
  3. Step 3: Cross multiply
    24,372.56x = 33,633.20 × 13,618
  4. Step 4: Simplify right side
    24,372.56x = 458,016,917.60
  5. Step 5: Solve for x
    x = 458,016,917.60/24,372.56
  6. Step 6: Final answer
    x = 18,792.32

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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.