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Finding the Fourth Proportional to 17,851.38, 24,634.90 and 9,894.80

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Solution

The fourth proportional to 17,851.38, 24,634.90 and 9,894.80 is: 13,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.38 : 24,634.90 = 9,894.80 : x
  2. Step 2: Convert to fraction form
    17,851.38/24,634.90 = 9,894.80/x
  3. Step 3: Cross multiply
    17,851.38x = 24,634.90 × 9,894.80
  4. Step 4: Simplify right side
    17,851.38x = 243,757,408.52
  5. Step 5: Solve for x
    x = 243,757,408.52/17,851.38
  6. Step 6: Final answer
    x = 13,654.82

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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.