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Finding the Fourth Proportional to 19,977.19, 29,957.08 and 10,614.96

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Solution

The fourth proportional to 19,977.19, 29,957.08 and 10,614.96 is: 15,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.19 : 29,957.08 = 10,614.96 : x
  2. Step 2: Convert to fraction form
    19,977.19/29,957.08 = 10,614.96/x
  3. Step 3: Cross multiply
    19,977.19x = 29,957.08 × 10,614.96
  4. Step 4: Simplify right side
    19,977.19x = 317,993,205.92
  5. Step 5: Solve for x
    x = 317,993,205.92/19,977.19
  6. Step 6: Final answer
    x = 15,917.81

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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.