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Finding the Fourth Proportional to 19,729, 27,227.10 and 11,346.04

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Solution

The fourth proportional to 19,729, 27,227.10 and 11,346.04 is: 15,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729 : 27,227.10 = 11,346.04 : x
  2. Step 2: Convert to fraction form
    19,729/27,227.10 = 11,346.04/x
  3. Step 3: Cross multiply
    19,729x = 27,227.10 × 11,346.04
  4. Step 4: Simplify right side
    19,729x = 308,919,765.68
  5. Step 5: Solve for x
    x = 308,919,765.68/19,729
  6. Step 6: Final answer
    x = 15,658.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.