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Finding the Fourth Proportional to 19,835.74, 27,375.09 and 10,884.98

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Solution

The fourth proportional to 19,835.74, 27,375.09 and 10,884.98 is: 15,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835.74 : 27,375.09 = 10,884.98 : x
  2. Step 2: Convert to fraction form
    19,835.74/27,375.09 = 10,884.98/x
  3. Step 3: Cross multiply
    19,835.74x = 27,375.09 × 10,884.98
  4. Step 4: Simplify right side
    19,835.74x = 297,977,365.38
  5. Step 5: Solve for x
    x = 297,977,365.38/19,835.74
  6. Step 6: Final answer
    x = 15,022.25

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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.