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Finding the Fourth Proportional to 20,580.91, 30,867.77 and 5,786.32

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Solution

The fourth proportional to 20,580.91, 30,867.77 and 5,786.32 is: 8,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.91 : 30,867.77 = 5,786.32 : x
  2. Step 2: Convert to fraction form
    20,580.91/30,867.77 = 5,786.32/x
  3. Step 3: Cross multiply
    20,580.91x = 30,867.77 × 5,786.32
  4. Step 4: Simplify right side
    20,580.91x = 178,610,794.91
  5. Step 5: Solve for x
    x = 178,610,794.91/20,580.91
  6. Step 6: Final answer
    x = 8,678.47

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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.