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Finding the Fourth Proportional to 24,852, 34,296 and 13,674.24

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Solution

The fourth proportional to 24,852, 34,296 and 13,674.24 is: 18,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 34,296 = 13,674.24 : x
  2. Step 2: Convert to fraction form
    24,852/34,296 = 13,674.24/x
  3. Step 3: Cross multiply
    24,852x = 34,296 × 13,674.24
  4. Step 4: Simplify right side
    24,852x = 468,971,735.04
  5. Step 5: Solve for x
    x = 468,971,735.04/24,852
  6. Step 6: Final answer
    x = 18,870.58

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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.