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Finding the Fourth Proportional to 24,883.31, 34,338.97 and 13,705.31

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Solution

The fourth proportional to 24,883.31, 34,338.97 and 13,705.31 is: 18,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.31 : 34,338.97 = 13,705.31 : x
  2. Step 2: Convert to fraction form
    24,883.31/34,338.97 = 13,705.31/x
  3. Step 3: Cross multiply
    24,883.31x = 34,338.97 × 13,705.31
  4. Step 4: Simplify right side
    24,883.31x = 470,626,331.91
  5. Step 5: Solve for x
    x = 470,626,331.91/24,883.31
  6. Step 6: Final answer
    x = 18,913.33

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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.