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Finding the Fourth Proportional to 20,580.63, 30,867.35 and 5,786.03

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Solution

The fourth proportional to 20,580.63, 30,867.35 and 5,786.03 is: 8,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.63 : 30,867.35 = 5,786.03 : x
  2. Step 2: Convert to fraction form
    20,580.63/30,867.35 = 5,786.03/x
  3. Step 3: Cross multiply
    20,580.63x = 30,867.35 × 5,786.03
  4. Step 4: Simplify right side
    20,580.63x = 178,599,461.36
  5. Step 5: Solve for x
    x = 178,599,461.36/20,580.63
  6. Step 6: Final answer
    x = 8,678.04

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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.