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Finding the Fourth Proportional to 20,318.16, 30,477.84 and 7,179.60

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Solution

The fourth proportional to 20,318.16, 30,477.84 and 7,179.60 is: 10,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.16 : 30,477.84 = 7,179.60 : x
  2. Step 2: Convert to fraction form
    20,318.16/30,477.84 = 7,179.60/x
  3. Step 3: Cross multiply
    20,318.16x = 30,477.84 × 7,179.60
  4. Step 4: Simplify right side
    20,318.16x = 218,818,700.06
  5. Step 5: Solve for x
    x = 218,818,700.06/20,318.16
  6. Step 6: Final answer
    x = 10,769.61

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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.