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Finding the Fourth Proportional to 20,203.84, 30,318.38 and 7,724.92

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Solution

The fourth proportional to 20,203.84, 30,318.38 and 7,724.92 is: 11,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.84 : 30,318.38 = 7,724.92 : x
  2. Step 2: Convert to fraction form
    20,203.84/30,318.38 = 7,724.92/x
  3. Step 3: Cross multiply
    20,203.84x = 30,318.38 × 7,724.92
  4. Step 4: Simplify right side
    20,203.84x = 234,207,060.03
  5. Step 5: Solve for x
    x = 234,207,060.03/20,203.84
  6. Step 6: Final answer
    x = 11,592.21

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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.