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Finding the Fourth Proportional to 11,619, 16,023.36 and 8,962.20

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Solution

The fourth proportional to 11,619, 16,023.36 and 8,962.20 is: 12,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619 : 16,023.36 = 8,962.20 : x
  2. Step 2: Convert to fraction form
    11,619/16,023.36 = 8,962.20/x
  3. Step 3: Cross multiply
    11,619x = 16,023.36 × 8,962.20
  4. Step 4: Simplify right side
    11,619x = 143,604,556.99
  5. Step 5: Solve for x
    x = 143,604,556.99/11,619
  6. Step 6: Final answer
    x = 12,359.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.