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Finding the Fourth Proportional to 20,567.70, 30,844.17 and 7,416.54

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Solution

The fourth proportional to 20,567.70, 30,844.17 and 7,416.54 is: 11,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.70 : 30,844.17 = 7,416.54 : x
  2. Step 2: Convert to fraction form
    20,567.70/30,844.17 = 7,416.54/x
  3. Step 3: Cross multiply
    20,567.70x = 30,844.17 × 7,416.54
  4. Step 4: Simplify right side
    20,567.70x = 228,757,020.57
  5. Step 5: Solve for x
    x = 228,757,020.57/20,567.70
  6. Step 6: Final answer
    x = 11,122.15

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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.