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Finding the Fourth Proportional to 24,530, 33,851.40 and 13,352

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Solution

The fourth proportional to 24,530, 33,851.40 and 13,352 is: 18,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530 : 33,851.40 = 13,352 : x
  2. Step 2: Convert to fraction form
    24,530/33,851.40 = 13,352/x
  3. Step 3: Cross multiply
    24,530x = 33,851.40 × 13,352
  4. Step 4: Simplify right side
    24,530x = 451,983,892.80
  5. Step 5: Solve for x
    x = 451,983,892.80/24,530
  6. Step 6: Final answer
    x = 18,425.76

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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.