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Finding the Fourth Proportional to 24,285.42, 33,512.94 and 13,674.42

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Solution

The fourth proportional to 24,285.42, 33,512.94 and 13,674.42 is: 18,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.42 : 33,512.94 = 13,674.42 : x
  2. Step 2: Convert to fraction form
    24,285.42/33,512.94 = 13,674.42/x
  3. Step 3: Cross multiply
    24,285.42x = 33,512.94 × 13,674.42
  4. Step 4: Simplify right side
    24,285.42x = 458,270,016.99
  5. Step 5: Solve for x
    x = 458,270,016.99/24,285.42
  6. Step 6: Final answer
    x = 18,870.17

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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.