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Finding the Fourth Proportional to 19,974.20, 29,914.58 and 15,786.10

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Solution

The fourth proportional to 19,974.20, 29,914.58 and 15,786.10 is: 23,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.20 : 29,914.58 = 15,786.10 : x
  2. Step 2: Convert to fraction form
    19,974.20/29,914.58 = 15,786.10/x
  3. Step 3: Cross multiply
    19,974.20x = 29,914.58 × 15,786.10
  4. Step 4: Simplify right side
    19,974.20x = 472,234,551.34
  5. Step 5: Solve for x
    x = 472,234,551.34/19,974.20
  6. Step 6: Final answer
    x = 23,642.23

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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.