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Finding the Fourth Proportional to 24,855.36, 34,299.72 and 13,677.36

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Solution

The fourth proportional to 24,855.36, 34,299.72 and 13,677.36 is: 18,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.36 : 34,299.72 = 13,677.36 : x
  2. Step 2: Convert to fraction form
    24,855.36/34,299.72 = 13,677.36/x
  3. Step 3: Cross multiply
    24,855.36x = 34,299.72 × 13,677.36
  4. Step 4: Simplify right side
    24,855.36x = 469,129,618.34
  5. Step 5: Solve for x
    x = 469,129,618.34/24,855.36
  6. Step 6: Final answer
    x = 18,874.38

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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.