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Finding the Fourth Proportional to 20,188.71, 30,283.11 and 6,148.80

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Solution

The fourth proportional to 20,188.71, 30,283.11 and 6,148.80 is: 9,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.71 : 30,283.11 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    20,188.71/30,283.11 = 6,148.80/x
  3. Step 3: Cross multiply
    20,188.71x = 30,283.11 × 6,148.80
  4. Step 4: Simplify right side
    20,188.71x = 186,204,786.77
  5. Step 5: Solve for x
    x = 186,204,786.77/20,188.71
  6. Step 6: Final answer
    x = 9,223.21

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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.