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Finding the Fourth Proportional to 24,617.25, 33,971.81 and 14,013

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Solution

The fourth proportional to 24,617.25, 33,971.81 and 14,013 is: 19,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.25 : 33,971.81 = 14,013 : x
  2. Step 2: Convert to fraction form
    24,617.25/33,971.81 = 14,013/x
  3. Step 3: Cross multiply
    24,617.25x = 33,971.81 × 14,013
  4. Step 4: Simplify right side
    24,617.25x = 476,046,903.47
  5. Step 5: Solve for x
    x = 476,046,903.47/24,617.25
  6. Step 6: Final answer
    x = 19,337.94

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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.