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Finding the Fourth Proportional to 24,502, 33,813.04 and 13,324

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Solution

The fourth proportional to 24,502, 33,813.04 and 13,324 is: 18,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502 : 33,813.04 = 13,324 : x
  2. Step 2: Convert to fraction form
    24,502/33,813.04 = 13,324/x
  3. Step 3: Cross multiply
    24,502x = 33,813.04 × 13,324
  4. Step 4: Simplify right side
    24,502x = 450,524,944.96
  5. Step 5: Solve for x
    x = 450,524,944.96/24,502
  6. Step 6: Final answer
    x = 18,387.27

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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.