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Finding the Fourth Proportional to 24,013.97, 33,141.16 and 13,405.20

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Solution

The fourth proportional to 24,013.97, 33,141.16 and 13,405.20 is: 18,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.97 : 33,141.16 = 13,405.20 : x
  2. Step 2: Convert to fraction form
    24,013.97/33,141.16 = 13,405.20/x
  3. Step 3: Cross multiply
    24,013.97x = 33,141.16 × 13,405.20
  4. Step 4: Simplify right side
    24,013.97x = 444,263,878.03
  5. Step 5: Solve for x
    x = 444,263,878.03/24,013.97
  6. Step 6: Final answer
    x = 18,500.23

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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.