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Finding the Fourth Proportional to 24,544, 33,871.08 and 13,366

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Solution

The fourth proportional to 24,544, 33,871.08 and 13,366 is: 18,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544 : 33,871.08 = 13,366 : x
  2. Step 2: Convert to fraction form
    24,544/33,871.08 = 13,366/x
  3. Step 3: Cross multiply
    24,544x = 33,871.08 × 13,366
  4. Step 4: Simplify right side
    24,544x = 452,720,855.28
  5. Step 5: Solve for x
    x = 452,720,855.28/24,544
  6. Step 6: Final answer
    x = 18,445.28

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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.