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Finding the Fourth Proportional to 19,634.94, 27,094.68 and 11,137.14

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Solution

The fourth proportional to 19,634.94, 27,094.68 and 11,137.14 is: 15,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.94 : 27,094.68 = 11,137.14 : x
  2. Step 2: Convert to fraction form
    19,634.94/27,094.68 = 11,137.14/x
  3. Step 3: Cross multiply
    19,634.94x = 27,094.68 × 11,137.14
  4. Step 4: Simplify right side
    19,634.94x = 301,757,244.42
  5. Step 5: Solve for x
    x = 301,757,244.42/19,634.94
  6. Step 6: Final answer
    x = 15,368.38

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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.