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Finding the Fourth Proportional to 20,451.65, 30,678.14 and 5,659.32

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Solution

The fourth proportional to 20,451.65, 30,678.14 and 5,659.32 is: 8,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.65 : 30,678.14 = 5,659.32 : x
  2. Step 2: Convert to fraction form
    20,451.65/30,678.14 = 5,659.32/x
  3. Step 3: Cross multiply
    20,451.65x = 30,678.14 × 5,659.32
  4. Step 4: Simplify right side
    20,451.65x = 173,617,382.97
  5. Step 5: Solve for x
    x = 173,617,382.97/20,451.65
  6. Step 6: Final answer
    x = 8,489.16

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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.