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Finding the Fourth Proportional to 24,855.26, 34,299.74 and 13,524.98

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Solution

The fourth proportional to 24,855.26, 34,299.74 and 13,524.98 is: 18,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.26 : 34,299.74 = 13,524.98 : x
  2. Step 2: Convert to fraction form
    24,855.26/34,299.74 = 13,524.98/x
  3. Step 3: Cross multiply
    24,855.26x = 34,299.74 × 13,524.98
  4. Step 4: Simplify right side
    24,855.26x = 463,903,297.51
  5. Step 5: Solve for x
    x = 463,903,297.51/24,855.26
  6. Step 6: Final answer
    x = 18,664.19

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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.