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Finding the Fourth Proportional to 24,387.78, 33,654.97 and 13,777.38

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Solution

The fourth proportional to 24,387.78, 33,654.97 and 13,777.38 is: 19,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.78 : 33,654.97 = 13,777.38 : x
  2. Step 2: Convert to fraction form
    24,387.78/33,654.97 = 13,777.38/x
  3. Step 3: Cross multiply
    24,387.78x = 33,654.97 × 13,777.38
  4. Step 4: Simplify right side
    24,387.78x = 463,677,310.58
  5. Step 5: Solve for x
    x = 463,677,310.58/24,387.78
  6. Step 6: Final answer
    x = 19,012.69

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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.