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Finding the Fourth Proportional to 20,013.36, 30,023.82 and 6,867.60

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Solution

The fourth proportional to 20,013.36, 30,023.82 and 6,867.60 is: 10,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.36 : 30,023.82 = 6,867.60 : x
  2. Step 2: Convert to fraction form
    20,013.36/30,023.82 = 6,867.60/x
  3. Step 3: Cross multiply
    20,013.36x = 30,023.82 × 6,867.60
  4. Step 4: Simplify right side
    20,013.36x = 206,191,586.23
  5. Step 5: Solve for x
    x = 206,191,586.23/20,013.36
  6. Step 6: Final answer
    x = 10,302.70

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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.