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Finding the Fourth Proportional to 24,266, 33,486.26 and 13,655

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Solution

The fourth proportional to 24,266, 33,486.26 and 13,655 is: 18,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266 : 33,486.26 = 13,655 : x
  2. Step 2: Convert to fraction form
    24,266/33,486.26 = 13,655/x
  3. Step 3: Cross multiply
    24,266x = 33,486.26 × 13,655
  4. Step 4: Simplify right side
    24,266x = 457,254,880.30
  5. Step 5: Solve for x
    x = 457,254,880.30/24,266
  6. Step 6: Final answer
    x = 18,843.44

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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.