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Finding the Fourth Proportional to 19,771.70, 29,658.15 and 7,292.43

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Solution

The fourth proportional to 19,771.70, 29,658.15 and 7,292.43 is: 10,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.70 : 29,658.15 = 7,292.43 : x
  2. Step 2: Convert to fraction form
    19,771.70/29,658.15 = 7,292.43/x
  3. Step 3: Cross multiply
    19,771.70x = 29,658.15 × 7,292.43
  4. Step 4: Simplify right side
    19,771.70x = 216,279,982.80
  5. Step 5: Solve for x
    x = 216,279,982.80/19,771.70
  6. Step 6: Final answer
    x = 10,938.87

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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.