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Finding the Fourth Proportional to 20,194.62, 30,292.95 and 7,715.73

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Solution

The fourth proportional to 20,194.62, 30,292.95 and 7,715.73 is: 11,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.62 : 30,292.95 = 7,715.73 : x
  2. Step 2: Convert to fraction form
    20,194.62/30,292.95 = 7,715.73/x
  3. Step 3: Cross multiply
    20,194.62x = 30,292.95 × 7,715.73
  4. Step 4: Simplify right side
    20,194.62x = 233,732,223.10
  5. Step 5: Solve for x
    x = 233,732,223.10/20,194.62
  6. Step 6: Final answer
    x = 11,573.98

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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.