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Finding the Fourth Proportional to 24,287.75, 33,517.77 and 13,677.76

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Solution

The fourth proportional to 24,287.75, 33,517.77 and 13,677.76 is: 18,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.75 : 33,517.77 = 13,677.76 : x
  2. Step 2: Convert to fraction form
    24,287.75/33,517.77 = 13,677.76/x
  3. Step 3: Cross multiply
    24,287.75x = 33,517.77 × 13,677.76
  4. Step 4: Simplify right side
    24,287.75x = 458,448,004.40
  5. Step 5: Solve for x
    x = 458,448,004.40/24,287.75
  6. Step 6: Final answer
    x = 18,875.69

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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.