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Finding the Fourth Proportional to 24,883.97, 34,339.87 and 13,705.97

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Solution

The fourth proportional to 24,883.97, 34,339.87 and 13,705.97 is: 18,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.97 : 34,339.87 = 13,705.97 : x
  2. Step 2: Convert to fraction form
    24,883.97/34,339.87 = 13,705.97/x
  3. Step 3: Cross multiply
    24,883.97x = 34,339.87 × 13,705.97
  4. Step 4: Simplify right side
    24,883.97x = 470,661,228.02
  5. Step 5: Solve for x
    x = 470,661,228.02/24,883.97
  6. Step 6: Final answer
    x = 18,914.23

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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.