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Finding the Fourth Proportional to 24,534, 33,857 and 13,356.08

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Solution

The fourth proportional to 24,534, 33,857 and 13,356.08 is: 18,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 33,857 = 13,356.08 : x
  2. Step 2: Convert to fraction form
    24,534/33,857 = 13,356.08/x
  3. Step 3: Cross multiply
    24,534x = 33,857 × 13,356.08
  4. Step 4: Simplify right side
    24,534x = 452,196,800.56
  5. Step 5: Solve for x
    x = 452,196,800.56/24,534
  6. Step 6: Final answer
    x = 18,431.43

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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.