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Finding the Fourth Proportional to 20,414.88, 30,647.04 and 19,381.48

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Solution

The fourth proportional to 20,414.88, 30,647.04 and 19,381.48 is: 29,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.88 : 30,647.04 = 19,381.48 : x
  2. Step 2: Convert to fraction form
    20,414.88/30,647.04 = 19,381.48/x
  3. Step 3: Cross multiply
    20,414.88x = 30,647.04 × 19,381.48
  4. Step 4: Simplify right side
    20,414.88x = 593,984,992.82
  5. Step 5: Solve for x
    x = 593,984,992.82/20,414.88
  6. Step 6: Final answer
    x = 29,095.69

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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.