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Finding the Fourth Proportional to 24,614.82, 33,960 and 13,858.02

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Solution

The fourth proportional to 24,614.82, 33,960 and 13,858.02 is: 19,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.82 : 33,960 = 13,858.02 : x
  2. Step 2: Convert to fraction form
    24,614.82/33,960 = 13,858.02/x
  3. Step 3: Cross multiply
    24,614.82x = 33,960 × 13,858.02
  4. Step 4: Simplify right side
    24,614.82x = 470,618,359.20
  5. Step 5: Solve for x
    x = 470,618,359.20/24,614.82
  6. Step 6: Final answer
    x = 19,119.31

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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.