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Finding the Fourth Proportional to 20,069.84, 30,106.72 and 10,202.96

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Solution

The fourth proportional to 20,069.84, 30,106.72 and 10,202.96 is: 15,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.84 : 30,106.72 = 10,202.96 : x
  2. Step 2: Convert to fraction form
    20,069.84/30,106.72 = 10,202.96/x
  3. Step 3: Cross multiply
    20,069.84x = 30,106.72 × 10,202.96
  4. Step 4: Simplify right side
    20,069.84x = 307,177,659.89
  5. Step 5: Solve for x
    x = 307,177,659.89/20,069.84
  6. Step 6: Final answer
    x = 15,305.44

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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.