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Finding the Fourth Proportional to 20,102.67, 30,154.21 and 7,619.33

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Solution

The fourth proportional to 20,102.67, 30,154.21 and 7,619.33 is: 11,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.67 : 30,154.21 = 7,619.33 : x
  2. Step 2: Convert to fraction form
    20,102.67/30,154.21 = 7,619.33/x
  3. Step 3: Cross multiply
    20,102.67x = 30,154.21 × 7,619.33
  4. Step 4: Simplify right side
    20,102.67x = 229,754,838.78
  5. Step 5: Solve for x
    x = 229,754,838.78/20,102.67
  6. Step 6: Final answer
    x = 11,429.07

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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.