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Finding the Fourth Proportional to 19,412.69, 29,120.25 and 5,180.90

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Solution

The fourth proportional to 19,412.69, 29,120.25 and 5,180.90 is: 7,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.69 : 29,120.25 = 5,180.90 : x
  2. Step 2: Convert to fraction form
    19,412.69/29,120.25 = 5,180.90/x
  3. Step 3: Cross multiply
    19,412.69x = 29,120.25 × 5,180.90
  4. Step 4: Simplify right side
    19,412.69x = 150,868,977.05
  5. Step 5: Solve for x
    x = 150,868,977.05/19,412.69
  6. Step 6: Final answer
    x = 7,771.67

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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.