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Finding the Fourth Proportional to 24,786.81, 34,205.83 and 13,456.31

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Solution

The fourth proportional to 24,786.81, 34,205.83 and 13,456.31 is: 18,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.81 : 34,205.83 = 13,456.31 : x
  2. Step 2: Convert to fraction form
    24,786.81/34,205.83 = 13,456.31/x
  3. Step 3: Cross multiply
    24,786.81x = 34,205.83 × 13,456.31
  4. Step 4: Simplify right side
    24,786.81x = 460,284,240.03
  5. Step 5: Solve for x
    x = 460,284,240.03/24,786.81
  6. Step 6: Final answer
    x = 18,569.72

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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.