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Finding the Fourth Proportional to 19,930.12, 27,496.38 and 13,219

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Solution

The fourth proportional to 19,930.12, 27,496.38 and 13,219 is: 18,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.12 : 27,496.38 = 13,219 : x
  2. Step 2: Convert to fraction form
    19,930.12/27,496.38 = 13,219/x
  3. Step 3: Cross multiply
    19,930.12x = 27,496.38 × 13,219
  4. Step 4: Simplify right side
    19,930.12x = 363,474,647.22
  5. Step 5: Solve for x
    x = 363,474,647.22/19,930.12
  6. Step 6: Final answer
    x = 18,237.45

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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.