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Finding the Fourth Proportional to 19,486.92, 29,227.14 and 7,004.42

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Solution

The fourth proportional to 19,486.92, 29,227.14 and 7,004.42 is: 10,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486.92 : 29,227.14 = 7,004.42 : x
  2. Step 2: Convert to fraction form
    19,486.92/29,227.14 = 7,004.42/x
  3. Step 3: Cross multiply
    19,486.92x = 29,227.14 × 7,004.42
  4. Step 4: Simplify right side
    19,486.92x = 204,719,017.82
  5. Step 5: Solve for x
    x = 204,719,017.82/19,486.92
  6. Step 6: Final answer
    x = 10,505.46

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