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Finding the Fourth Proportional to 20,188.67, 30,284.54 and 6,149.88

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Solution

The fourth proportional to 20,188.67, 30,284.54 and 6,149.88 is: 9,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.67 : 30,284.54 = 6,149.88 : x
  2. Step 2: Convert to fraction form
    20,188.67/30,284.54 = 6,149.88/x
  3. Step 3: Cross multiply
    20,188.67x = 30,284.54 × 6,149.88
  4. Step 4: Simplify right side
    20,188.67x = 186,246,256.11
  5. Step 5: Solve for x
    x = 186,246,256.11/20,188.67
  6. Step 6: Final answer
    x = 9,225.29

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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.