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Finding the Fourth Proportional to 24,365.28, 33,625.12 and 13,755

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Solution

The fourth proportional to 24,365.28, 33,625.12 and 13,755 is: 18,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.28 : 33,625.12 = 13,755 : x
  2. Step 2: Convert to fraction form
    24,365.28/33,625.12 = 13,755/x
  3. Step 3: Cross multiply
    24,365.28x = 33,625.12 × 13,755
  4. Step 4: Simplify right side
    24,365.28x = 462,513,525.60
  5. Step 5: Solve for x
    x = 462,513,525.60/24,365.28
  6. Step 6: Final answer
    x = 18,982.48

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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.