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Finding the Fourth Proportional to 20,580.74, 30,867.53 and 5,786.15

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Solution

The fourth proportional to 20,580.74, 30,867.53 and 5,786.15 is: 8,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.74 : 30,867.53 = 5,786.15 : x
  2. Step 2: Convert to fraction form
    20,580.74/30,867.53 = 5,786.15/x
  3. Step 3: Cross multiply
    20,580.74x = 30,867.53 × 5,786.15
  4. Step 4: Simplify right side
    20,580.74x = 178,603,997.14
  5. Step 5: Solve for x
    x = 178,603,997.14/20,580.74
  6. Step 6: Final answer
    x = 8,678.21

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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.