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Finding the Fourth Proportional to 19,982, 29,974.44 and 7,670

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Solution

The fourth proportional to 19,982, 29,974.44 and 7,670 is: 11,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982 : 29,974.44 = 7,670 : x
  2. Step 2: Convert to fraction form
    19,982/29,974.44 = 7,670/x
  3. Step 3: Cross multiply
    19,982x = 29,974.44 × 7,670
  4. Step 4: Simplify right side
    19,982x = 229,903,954.80
  5. Step 5: Solve for x
    x = 229,903,954.80/19,982
  6. Step 6: Final answer
    x = 11,505.55

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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.