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Finding the Fourth Proportional to 24,566.75, 33,902.13 and 13,388.75

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Solution

The fourth proportional to 24,566.75, 33,902.13 and 13,388.75 is: 18,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566.75 : 33,902.13 = 13,388.75 : x
  2. Step 2: Convert to fraction form
    24,566.75/33,902.13 = 13,388.75/x
  3. Step 3: Cross multiply
    24,566.75x = 33,902.13 × 13,388.75
  4. Step 4: Simplify right side
    24,566.75x = 453,907,143.04
  5. Step 5: Solve for x
    x = 453,907,143.04/24,566.75
  6. Step 6: Final answer
    x = 18,476.48

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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.