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Finding the Fourth Proportional to 24,884.38, 34,340.44 and 13,706.38

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Solution

The fourth proportional to 24,884.38, 34,340.44 and 13,706.38 is: 18,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.38 : 34,340.44 = 13,706.38 : x
  2. Step 2: Convert to fraction form
    24,884.38/34,340.44 = 13,706.38/x
  3. Step 3: Cross multiply
    24,884.38x = 34,340.44 × 13,706.38
  4. Step 4: Simplify right side
    24,884.38x = 470,682,948.31
  5. Step 5: Solve for x
    x = 470,682,948.31/24,884.38
  6. Step 6: Final answer
    x = 18,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.