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Finding the Fourth Proportional to 20,236.84, 30,362.55 and 10,380.76

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Solution

The fourth proportional to 20,236.84, 30,362.55 and 10,380.76 is: 15,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.84 : 30,362.55 = 10,380.76 : x
  2. Step 2: Convert to fraction form
    20,236.84/30,362.55 = 10,380.76/x
  3. Step 3: Cross multiply
    20,236.84x = 30,362.55 × 10,380.76
  4. Step 4: Simplify right side
    20,236.84x = 315,186,344.54
  5. Step 5: Solve for x
    x = 315,186,344.54/20,236.84
  6. Step 6: Final answer
    x = 15,574.88

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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.