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Finding the Fourth Proportional to 19,910.82, 29,857.02 and 7,427.50

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Solution

The fourth proportional to 19,910.82, 29,857.02 and 7,427.50 is: 11,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910.82 : 29,857.02 = 7,427.50 : x
  2. Step 2: Convert to fraction form
    19,910.82/29,857.02 = 7,427.50/x
  3. Step 3: Cross multiply
    19,910.82x = 29,857.02 × 7,427.50
  4. Step 4: Simplify right side
    19,910.82x = 221,763,016.05
  5. Step 5: Solve for x
    x = 221,763,016.05/19,910.82
  6. Step 6: Final answer
    x = 11,137.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.