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Finding the Fourth Proportional to 24,287.82, 33,517.29 and 13,677.63

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Solution

The fourth proportional to 24,287.82, 33,517.29 and 13,677.63 is: 18,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.82 : 33,517.29 = 13,677.63 : x
  2. Step 2: Convert to fraction form
    24,287.82/33,517.29 = 13,677.63/x
  3. Step 3: Cross multiply
    24,287.82x = 33,517.29 × 13,677.63
  4. Step 4: Simplify right side
    24,287.82x = 458,437,091.22
  5. Step 5: Solve for x
    x = 458,437,091.22/24,287.82
  6. Step 6: Final answer
    x = 18,875.18

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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.